%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV864-1 : TPTP v9.2.1. Released v4.1.0.
% 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 : n017.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 05:27:34 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 7 unt; 5 nHn; 12 RR)
% Number of literals : 33 ( 19 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 18 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_com__det_0,axiom,
( X1 = X2
| ~ c_Natural_Oevalc(X3,X4,X1)
| ~ c_Natural_Oevalc(X3,X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com__det_0) ).
cnf(cls_conjecture_2,negated_conjecture,
( X1 = v_xa
| c_Natural_Oevalc(v_c,v_x,v_xb(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
( X1 = v_xa
| X1 != v_xb(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_state__not__singleton__def__raw_0,axiom,
( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_state__not__singleton__def__raw_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_x,v_xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_6,axiom,
( X1 = X2
| ~ c_Natural_Oevalc(X3,X4,X1)
| ~ c_Natural_Oevalc(X3,X4,X2) ),
cls_com__det_0 ).
cnf(c_0_7,negated_conjecture,
( X1 = v_xa
| c_Natural_Oevalc(v_c,v_x,v_xb(X1)) ),
cls_conjecture_2 ).
cnf(c_0_8,negated_conjecture,
( X1 = v_xb(X2)
| X2 = v_xa
| ~ c_Natural_Oevalc(v_c,v_x,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
( X1 = v_xa
| X1 != v_xb(X1) ),
cls_conjecture_3 ).
cnf(c_0_10,negated_conjecture,
( v_xb(X1) = v_xb(X2)
| X1 = v_xa
| X2 = v_xa ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_11,axiom,
( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
cls_state__not__singleton__def__raw_0 ).
cnf(c_0_12,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
cls_conjecture_0 ).
cnf(c_0_13,negated_conjecture,
( v_xb(X1) = v_xa
| X1 = v_xa ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10])]) ).
cnf(c_0_14,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_x,v_xa),
cls_conjecture_1 ).
cnf(c_0_15,plain,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).
cnf(c_0_16,negated_conjecture,
X1 = v_xa,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_13]),c_0_14]) ).
cnf(c_0_17,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV864-1 : TPTP v9.2.1. Released v4.1.0.
% 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
% 0.14/0.33 % Computer : n017.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 06:03:12 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------