%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV092+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 : n006.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 05:20:48 PM UTC 2026
% Result : Theorem 1.78s 1.86s
% Output : CNFRefutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 64 ( 50 unt; 0 def)
% Number of atoms : 432 ( 388 equ)
% Maximal formula atoms : 168 ( 6 avg)
% Number of connectives : 590 ( 222 ~; 215 |; 147 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 61 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 16 con; 0-3 aty)
% Number of variables : 42 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0004,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use )
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,minus(n0,n1)) )
=> ( a_select3(u_defuse,X14,X18) = use
& a_select3(z_defuse,X14,X18) = use ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
fof(irreflexivity_gt,axiom,
! [X1] : ~ gt(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(leq_succ_gt_equiv,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> gt(succ(X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).
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_pred,axiom,
! [X1] : succ(pred(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_pred) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
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(transitivity_leq,axiom,
! [X1,X2,X3] :
( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(c_0_8,negated_conjecture,
~ ( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use )
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,minus(n0,n1)) )
=> ( a_select3(u_defuse,X14,X18) = use
& a_select3(z_defuse,X14,X18) = use ) ) ) ),
inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0004]) ).
fof(c_0_9,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
fof(c_0_10,plain,
! [X221,X222] :
( ( ~ leq(X221,X222)
| gt(succ(X222),X221) )
& ( ~ gt(succ(X222),X221)
| leq(X221,X222) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt_equiv])]) ).
fof(c_0_11,plain,
! [X305] : plus(X305,n1) = succ(X305),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_12,negated_conjecture,
( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ( leq(n0,esk24_0)
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use )
& ( leq(n0,esk25_0)
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use )
& ( leq(esk24_0,n2)
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use )
& ( leq(esk25_0,minus(n0,n1))
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use )
& ( a_select3(u_defuse,esk24_0,esk25_0) != use
| a_select3(z_defuse,esk24_0,esk25_0) != use
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
fof(c_0_13,plain,
! [X317] : succ(pred(X317)) = X317,
inference(variable_rename,[status(thm)],[succ_pred]) ).
fof(c_0_14,plain,
! [X315] : minus(X315,n1) = pred(X315),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
fof(c_0_15,plain,
! [X306] : plus(n1,X306) = succ(X306),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_16,plain,
! [X203] : ~ gt(X203,X203),
inference(variable_rename,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( gt(succ(X2),X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_19,plain,
! [X205,X206,X207] :
( ~ leq(X205,X206)
| ~ leq(X206,X207)
| leq(X205,X207) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).
cnf(c_0_20,negated_conjecture,
( leq(esk25_0,minus(n0,n1))
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,negated_conjecture,
a_select2(rho_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,negated_conjecture,
a_select2(rho_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_23,negated_conjecture,
a_select2(rho_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,negated_conjecture,
a_select2(sigma_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_25,negated_conjecture,
a_select2(sigma_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_26,negated_conjecture,
a_select2(sigma_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_27,negated_conjecture,
a_select2(sigma_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_28,negated_conjecture,
a_select2(sigma_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,negated_conjecture,
a_select2(sigma_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,negated_conjecture,
a_select2(xinit_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,negated_conjecture,
a_select2(xinit_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_32,negated_conjecture,
a_select2(xinit_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_33,negated_conjecture,
a_select2(xinit_mean_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_34,negated_conjecture,
a_select2(xinit_mean_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_35,negated_conjecture,
a_select2(xinit_mean_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_36,negated_conjecture,
a_select2(xinit_mean_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_37,negated_conjecture,
a_select2(xinit_mean_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_38,negated_conjecture,
a_select2(xinit_mean_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_39,negated_conjecture,
a_select2(xinit_noise_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_40,negated_conjecture,
a_select2(xinit_noise_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_41,negated_conjecture,
a_select2(xinit_noise_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_42,negated_conjecture,
a_select2(xinit_noise_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_43,negated_conjecture,
a_select2(xinit_noise_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_44,negated_conjecture,
a_select2(xinit_noise_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_45,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_46,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_47,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_48,plain,
succ(pred(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_49,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_50,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_51,negated_conjecture,
( leq(n0,esk25_0)
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_52,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_53,plain,
( gt(plus(X2,n1),X1)
| ~ leq(X1,X2) ),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_54,plain,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_55,negated_conjecture,
leq(esk25_0,minus(n0,n1)),
inference(cn,[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)],[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)],[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)],[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_20,c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47])]) ).
cnf(c_0_56,plain,
plus(minus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_18]),c_0_49]) ).
cnf(c_0_57,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_50,c_0_18]) ).
cnf(c_0_58,negated_conjecture,
( leq(n0,esk25_0)
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use ),
inference(cn,[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)],[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_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]) ).
cnf(c_0_59,plain,
~ leq(plus(X1,n1),X1),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,negated_conjecture,
( leq(X1,minus(n0,n1))
| ~ leq(X1,esk25_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_61,plain,
plus(n1,minus(X1,n1)) = X1,
inference(rw,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
leq(n0,esk25_0),
inference(cn,[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)],[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_32])]),c_0_45]),c_0_46]),c_0_47]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44])]) ).
cnf(c_0_63,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_57]),c_0_61]),c_0_62])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV092+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
% 0.14/0.32 % Computer : n006.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 04:55:46 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.78/1.86 % Version : CSE_E---1.7
% 1.78/1.86 % Problem : theBenchmark.p
% 1.78/1.86 % SZS status Theorem for theBenchmark.p
% 1.78/1.86 % SZS output start CNFRefutation
% See solution above
% 1.78/1.86 % Total time : 1.373s
%------------------------------------------------------------------------------