%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS090+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n018.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 04:36:19 PM UTC 2026
% Result : Unsatisfiable 1.26s 1.71s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 4 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 112 ( 48 ~; 44 |; 12 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 31 ( 1 sgn 14 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_4,axiom,
! [X1] :
( cC3(X1)
=> ( ( ~ cB(X1)
| ~ cA(X1) )
& ( cB(X1)
| ~ cA(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_6,axiom,
! [X1] :
( cC5(X1)
=> ! [X2] :
( rR(X1,X2)
=> cC3(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_5,axiom,
! [X1] :
( cC4(X1)
=> ? [X2] :
( rR(X1,X2)
& cC2(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_3,axiom,
! [X1] :
( cC2(X1)
=> ( ( ~ cB(X1)
| cA(X1) )
& ( cB(X1)
| cA(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_7,axiom,
! [X1] :
( cTEST(X1)
=> ( cC4(X1)
& cC1(X1)
& cC5(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
cTEST(i2003_11_14_17_19_57994),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(c_0_6,plain,
! [X1] :
( cC3(X1)
=> ( ( ~ cB(X1)
| ~ cA(X1) )
& ( cB(X1)
| ~ cA(X1) ) ) ),
inference(fof_simplification,[status(thm)],[axiom_4]) ).
fof(c_0_7,plain,
! [X17] :
( ( ~ cB(X17)
| ~ cA(X17)
| ~ cC3(X17) )
& ( cB(X17)
| ~ cA(X17)
| ~ cC3(X17) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_8,plain,
! [X20,X21] :
( ~ cC5(X20)
| ~ rR(X20,X21)
| cC3(X21) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])]) ).
fof(c_0_9,plain,
! [X18] :
( ( rR(X18,esk1_1(X18))
| ~ cC4(X18) )
& ( cC2(esk1_1(X18))
| ~ cC4(X18) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])])]) ).
fof(c_0_10,plain,
! [X1] :
( cC2(X1)
=> ( ( ~ cB(X1)
| cA(X1) )
& ( cB(X1)
| cA(X1) ) ) ),
inference(fof_simplification,[status(thm)],[axiom_3]) ).
cnf(c_0_11,plain,
( cB(X1)
| ~ cA(X1)
| ~ cC3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( ~ cB(X1)
| ~ cA(X1)
| ~ cC3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( cC3(X2)
| ~ cC5(X1)
| ~ rR(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( rR(X1,esk1_1(X1))
| ~ cC4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_15,plain,
! [X16] :
( ( ~ cB(X16)
| cA(X16)
| ~ cC2(X16) )
& ( cB(X16)
| cA(X16)
| ~ cC2(X16) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_16,plain,
( ~ cC3(X1)
| ~ cA(X1) ),
inference(csr,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( cC3(esk1_1(X1))
| ~ cC5(X1)
| ~ cC4(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( cB(X1)
| cA(X1)
| ~ cC2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( cA(X1)
| ~ cB(X1)
| ~ cC2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( ~ cC5(X1)
| ~ cC4(X1)
| ~ cA(esk1_1(X1)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( cA(X1)
| ~ cC2(X1) ),
inference(csr,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( cC2(esk1_1(X1))
| ~ cC4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_23,plain,
! [X22] :
( ( cC4(X22)
| ~ cTEST(X22) )
& ( cC1(X22)
| ~ cTEST(X22) )
& ( cC5(X22)
| ~ cTEST(X22) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])]) ).
cnf(c_0_24,plain,
( ~ cC5(X1)
| ~ cC4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_25,plain,
( cC5(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_26,plain,
( cC4(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
cTEST(i2003_11_14_17_19_57994),
inference(split_conjunct,[status(thm)],[axiom_8]) ).
cnf(c_0_28,plain,
~ cTEST(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_29,plain,
$false,
inference(sr,[status(thm)],[c_0_27,c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS090+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n018.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 : Mon May 4 20:36:47 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.26/1.71 % Version : CSE_E---1.7
% 1.26/1.71 % Problem : theBenchmark.p
% 1.26/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.71 % SZS output start CNFRefutation
% See solution above
% 1.26/1.71 % Total time : 1.369s
%------------------------------------------------------------------------------