%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM286-1 : TPTP v9.2.1. Bugfixed v4.0.0.
% 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 : n012.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 04:53:04 PM UTC 2026
% Result : Satisfiable 1.11s 1.61s
% Output : Saturation 1.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(successor_substitution,axiom,
( equalish(successor(X1),successor(X2))
| ~ equalish(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-0.ax',successor_substitution) ).
cnf(successor_equality1,axiom,
( equalish(X1,X2)
| ~ equalish(successor(X1),successor(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-0.ax',successor_equality1) ).
cnf(times,axiom,
equalish(multiply(X1,successor(X2)),add(multiply(X1,X2),X1)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-0.ax',times) ).
cnf(addition,axiom,
equalish(add(X1,successor(X2)),successor(add(X1,X2))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-0.ax',addition) ).
cnf(adding_zero,axiom,
equalish(add(X1,n0),X1),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-0.ax',adding_zero) ).
cnf(times_zero,axiom,
equalish(multiply(X1,n0),n0),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-0.ax',times_zero) ).
cnf(c_0_6,axiom,
( equalish(successor(X1),successor(X2))
| ~ equalish(X1,X2) ),
successor_substitution,
[final] ).
cnf(c_0_7,axiom,
( equalish(X1,X2)
| ~ equalish(successor(X1),successor(X2)) ),
successor_equality1,
[final] ).
cnf(c_0_8,axiom,
equalish(multiply(X1,successor(X2)),add(multiply(X1,X2),X1)),
times,
[final] ).
cnf(c_0_9,axiom,
equalish(add(X1,successor(X2)),successor(add(X1,X2))),
addition,
[final] ).
cnf(c_0_10,axiom,
equalish(add(X1,n0),X1),
adding_zero,
[final] ).
cnf(c_0_11,axiom,
equalish(multiply(X1,n0),n0),
times_zero,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : NUM286-1 : TPTP v9.2.1. Bugfixed v4.0.0.
% 0.00/0.06 % 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
% 0.06/0.24 % Computer : n012.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Tue May 5 00:24:15 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 1.11/1.61 % Version : CSE_E---1.7
% 1.11/1.61 % Problem : theBenchmark.p
% 1.11/1.61 % SZS status Satisfiable for theBenchmark.p
% 1.11/1.61 % SZS output start Saturation
% See solution above
% 1.11/1.61 % Total time : 1.361s
%------------------------------------------------------------------------------