%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV053+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:20:43 PM UTC 2026
% Result : Theorem 3.63s 3.09s
% Output : CNFRefutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 106 ( 71 unt; 0 def)
% Number of atoms : 310 ( 135 equ)
% Maximal formula atoms : 73 ( 2 avg)
% Number of connectives : 345 ( 141 ~; 150 |; 44 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-3 aty)
% Number of variables : 66 ( 3 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(succ_plus_2_r,axiom,
! [X1] : plus(X1,n2) = succ(succ(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_2_r) ).
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(succ_plus_3_r,axiom,
! [X1] : plus(X1,n3) = succ(succ(succ(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_3_r) ).
fof(successor_2,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(succ_plus_4_r,axiom,
! [X1] : plus(X1,n4) = succ(succ(succ(succ(X1)))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_4_r) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
fof(succ_plus_4_l,axiom,
! [X1] : plus(n4,X1) = succ(succ(succ(succ(X1)))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_4_l) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
fof(cl5_nebula_norm_0031,conjecture,
( ( leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(X14,minus(pv12,n1)) )
=> a_select3(q,pv10,X14) = divide(sqrt(times(minus(a_select3(center,X14,n0),a_select2(x,pv10)),minus(a_select3(center,X14,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X18,n0),a_select2(x,pv10)),minus(a_select3(center,X18,n0),a_select2(x,pv10)))))) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(X4,minus(pv10,n1)) )
=> sum(n0,minus(n5,n1),a_select3(q,X4,X20)) = n1 ) )
=> ( n0 = sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(X21,minus(pv12,n1)) )
=> a_select3(q,pv10,X21) = divide(sqrt(times(minus(a_select3(center,X21,n0),a_select2(x,pv10)),minus(a_select3(center,X21,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X22,n0),a_select2(x,pv10)),minus(a_select3(center,X22,n0),a_select2(x,pv10)))))) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(X28,minus(pv10,n1)) )
=> sum(n0,minus(n5,n1),a_select3(q,X28,X29)) = n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0031) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_5) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
fof(sum_plus_base,axiom,
! [X23] : sum(n0,tptp_minus_1,X23) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sum_plus_base) ).
fof(c_0_16,plain,
! [X315] : plus(X315,n2) = succ(succ(X315)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
fof(c_0_17,plain,
! [X313] : plus(X313,n1) = succ(X313),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_18,plain,
! [X314] : plus(n1,X314) = succ(X314),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_19,plain,
! [X317] : plus(X317,n3) = succ(succ(succ(X317))),
inference(variable_rename,[status(thm)],[succ_plus_3_r]) ).
cnf(c_0_20,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_24,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
fof(c_0_25,plain,
! [X319] : plus(X319,n4) = succ(succ(succ(succ(X319)))),
inference(variable_rename,[status(thm)],[succ_plus_4_r]) ).
cnf(c_0_26,plain,
plus(X1,n3) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_21]) ).
cnf(c_0_28,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_29,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_30,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_21]),c_0_21]) ).
cnf(c_0_31,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_24,c_0_21]) ).
fof(c_0_32,plain,
! [X320] : plus(n4,X320) = succ(succ(succ(succ(X320)))),
inference(variable_rename,[status(thm)],[succ_plus_4_l]) ).
cnf(c_0_33,plain,
plus(X1,n4) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
plus(X1,n3) = plus(plus(plus(X1,n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_35,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_37,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_38,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_39,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(X14,minus(pv12,n1)) )
=> a_select3(q,pv10,X14) = divide(sqrt(times(minus(a_select3(center,X14,n0),a_select2(x,pv10)),minus(a_select3(center,X14,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X18,n0),a_select2(x,pv10)),minus(a_select3(center,X18,n0),a_select2(x,pv10)))))) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(X4,minus(pv10,n1)) )
=> sum(n0,minus(n5,n1),a_select3(q,X4,X20)) = n1 ) )
=> ( n0 = sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
& leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(X21,minus(pv12,n1)) )
=> a_select3(q,pv10,X21) = divide(sqrt(times(minus(a_select3(center,X21,n0),a_select2(x,pv10)),minus(a_select3(center,X21,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X22,n0),a_select2(x,pv10)),minus(a_select3(center,X22,n0),a_select2(x,pv10)))))) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(X28,minus(pv10,n1)) )
=> sum(n0,minus(n5,n1),a_select3(q,X28,X29)) = n1 ) ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_norm_0031]) ).
fof(c_0_40,plain,
! [X324] : pred(succ(X324)) = X324,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_41,plain,
! [X323] : minus(X323,n1) = pred(X323),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_42,plain,
plus(n4,X1) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,plain,
plus(X1,n4) = plus(plus(plus(plus(X1,n1),n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_21]),c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_44,plain,
plus(n1,plus(X1,n2)) = plus(X1,n3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_28]),c_0_35]),c_0_28]) ).
cnf(c_0_45,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_46,plain,
plus(plus(plus(plus(n0,n1),n1),n1),n1) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_21]),c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_47,plain,
plus(n1,n2) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_31]),c_0_38]),c_0_28]) ).
fof(c_0_48,negated_conjecture,
! [X364,X365,X366,X367] :
( leq(n0,pv10)
& leq(n0,pv12)
& leq(pv10,minus(n135300,n1))
& leq(pv12,minus(n5,n1))
& ( ~ leq(n0,X364)
| ~ leq(X364,minus(pv12,n1))
| a_select3(q,pv10,X364) = divide(sqrt(times(minus(a_select3(center,X364,n0),a_select2(x,pv10)),minus(a_select3(center,X364,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X365,n0),a_select2(x,pv10)),minus(a_select3(center,X365,n0),a_select2(x,pv10)))))) )
& ( ~ leq(n0,X366)
| ~ leq(X366,minus(pv10,n1))
| sum(n0,minus(n5,n1),a_select3(q,X366,X367)) = n1 )
& ( leq(n0,esk26_0)
| leq(n0,esk24_0)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(esk26_0,minus(pv10,n1))
| leq(n0,esk24_0)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1
| leq(n0,esk24_0)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(n0,esk26_0)
| leq(esk24_0,minus(pv12,n1))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(esk26_0,minus(pv10,n1))
| leq(esk24_0,minus(pv12,n1))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1
| leq(esk24_0,minus(pv12,n1))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(n0,esk26_0)
| a_select3(q,pv10,esk24_0) != divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10))))))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( leq(esk26_0,minus(pv10,n1))
| a_select3(q,pv10,esk24_0) != divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10))))))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) )
& ( sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1
| a_select3(q,pv10,esk24_0) != divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10))))))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])]) ).
cnf(c_0_49,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_51,plain,
plus(n4,X1) = plus(plus(plus(plus(X1,n1),n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_21]),c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_52,plain,
plus(n1,plus(X1,n3)) = plus(X1,n4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_28]),c_0_35]),c_0_28]),c_0_44]),c_0_28]) ).
cnf(c_0_53,plain,
plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_54,plain,
plus(n1,n3) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_31]),c_0_38]),c_0_28]),c_0_47]),c_0_28]) ).
cnf(c_0_55,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
cnf(c_0_56,negated_conjecture,
( sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1
| a_select3(q,pv10,esk24_0) != divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10))))))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_57,negated_conjecture,
leq(n0,pv10),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,negated_conjecture,
leq(n0,pv12),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,negated_conjecture,
leq(pv10,minus(n135300,n1)),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_60,negated_conjecture,
leq(pv12,minus(n5,n1)),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_61,negated_conjecture,
( leq(n0,esk24_0)
| sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_62,negated_conjecture,
( leq(esk24_0,minus(pv12,n1))
| sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_63,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| a_select3(q,pv10,esk24_0) != divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10))))))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_64,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_21]),c_0_50]) ).
cnf(c_0_65,plain,
plus(X1,n4) = plus(n4,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_28]),c_0_35]),c_0_28]),c_0_44]),c_0_28]),c_0_52]) ).
cnf(c_0_66,plain,
plus(n1,n4) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_31]),c_0_38]),c_0_28]),c_0_47]),c_0_28]),c_0_54]),c_0_28]) ).
cnf(c_0_67,plain,
plus(tptp_minus_1,n1) = n0,
inference(rw,[status(thm)],[c_0_55,c_0_21]) ).
cnf(c_0_68,negated_conjecture,
( leq(n0,esk26_0)
| a_select3(q,pv10,esk24_0) != divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10))))))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_69,negated_conjecture,
( divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk24_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_59]),c_0_60])]) ).
cnf(c_0_70,negated_conjecture,
( a_select3(q,pv10,X1) = divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10))))))
| ~ leq(n0,X1)
| ~ leq(X1,minus(pv12,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_71,negated_conjecture,
( leq(n0,esk24_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_57]),c_0_58]),c_0_59]),c_0_60])]) ).
cnf(c_0_72,negated_conjecture,
( leq(esk24_0,minus(pv12,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_57]),c_0_58]),c_0_59]),c_0_60])]) ).
cnf(c_0_73,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk24_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_57]),c_0_58]),c_0_59]),c_0_60])]) ).
cnf(c_0_74,plain,
minus(n5,n1) = n4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
cnf(c_0_75,plain,
minus(plus(n1,X1),n1) = X1,
inference(spm,[status(thm)],[c_0_64,c_0_28]) ).
cnf(c_0_76,plain,
plus(n1,tptp_minus_1) = n0,
inference(rw,[status(thm)],[c_0_67,c_0_28]) ).
fof(c_0_77,plain,
! [X311] : sum(n0,tptp_minus_1,X311) = n0,
inference(variable_rename,[status(thm)],[sum_plus_base]) ).
cnf(c_0_78,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| leq(n0,esk24_0)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_79,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| leq(esk24_0,minus(pv12,n1))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_80,negated_conjecture,
( leq(n0,esk26_0)
| divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk24_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_57]),c_0_58]),c_0_59]),c_0_60])]) ).
cnf(c_0_81,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk24_0)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_82,negated_conjecture,
( leq(n0,esk26_0)
| leq(esk24_0,minus(pv12,n1))
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| ~ leq(n0,pv10)
| ~ leq(n0,pv12)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv12,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_83,negated_conjecture,
( sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,minus(n5,n1),a_select3(q,esk26_0,esk27_0)) != n1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_72]) ).
cnf(c_0_84,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk24_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(rw,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_85,plain,
minus(n0,n1) = tptp_minus_1,
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_86,plain,
sum(n0,tptp_minus_1,X1) = n0,
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_87,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| leq(n0,esk24_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_57]),c_0_58]),c_0_59]),c_0_60])]) ).
cnf(c_0_88,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| leq(esk24_0,minus(pv12,n1))
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_57]),c_0_58]),c_0_59]),c_0_60])]) ).
cnf(c_0_89,negated_conjecture,
( leq(n0,esk26_0)
| divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk24_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(rw,[status(thm)],[c_0_80,c_0_74]) ).
cnf(c_0_90,negated_conjecture,
( leq(n0,esk26_0)
| leq(n0,esk24_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_57]),c_0_58]),c_0_59]),c_0_60])]) ).
cnf(c_0_91,negated_conjecture,
( leq(esk24_0,minus(pv12,n1))
| leq(n0,esk26_0)
| sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_57]),c_0_58]),c_0_59]),c_0_60])]) ).
cnf(c_0_92,negated_conjecture,
( sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) != n0
| sum(n0,n4,a_select3(q,esk26_0,esk27_0)) != n1 ),
inference(rw,[status(thm)],[c_0_83,c_0_74]) ).
cnf(c_0_93,negated_conjecture,
( sum(n0,minus(n5,n1),a_select3(q,X1,X2)) = n1
| ~ leq(n0,X1)
| ~ leq(X1,minus(pv10,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_94,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).
cnf(c_0_95,negated_conjecture,
( divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))))) = a_select3(q,pv10,X1)
| ~ leq(X1,minus(pv12,n1))
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[c_0_70,c_0_74]) ).
cnf(c_0_96,negated_conjecture,
( leq(esk26_0,minus(pv10,n1))
| leq(n0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_85]),c_0_86])]) ).
cnf(c_0_97,negated_conjecture,
( leq(esk24_0,minus(pv12,n1))
| leq(esk26_0,minus(pv10,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_85]),c_0_86])]) ).
cnf(c_0_98,negated_conjecture,
( leq(n0,esk26_0)
| divide(sqrt(times(minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk24_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk25_0,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_85]),c_0_86])]) ).
cnf(c_0_99,negated_conjecture,
( leq(n0,esk24_0)
| leq(n0,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_85]),c_0_86])]) ).
cnf(c_0_100,negated_conjecture,
( leq(esk24_0,minus(pv12,n1))
| leq(n0,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_85]),c_0_86])]) ).
cnf(c_0_101,negated_conjecture,
sum(n0,n4,a_select3(q,esk26_0,esk27_0)) != n1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_85]),c_0_86])]) ).
cnf(c_0_102,negated_conjecture,
( sum(n0,n4,a_select3(q,X1,X2)) = n1
| ~ leq(X1,minus(pv10,n1))
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[c_0_93,c_0_74]) ).
cnf(c_0_103,negated_conjecture,
leq(esk26_0,minus(pv10,n1)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),c_0_97]) ).
cnf(c_0_104,negated_conjecture,
leq(n0,esk26_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_95]),c_0_99]),c_0_100]) ).
cnf(c_0_105,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),c_0_104])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV053+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n004.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 04:54:47 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 3.63/3.09 % Version : CSE_E---1.7
% 3.63/3.09 % Problem : theBenchmark.p
% 3.63/3.09 % SZS status Theorem for theBenchmark.p
% 3.63/3.09 % SZS output start CNFRefutation
% See solution above
% 3.63/3.09 % Total time : 2.372s
%------------------------------------------------------------------------------