%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : BOO027-1 : TPTP v9.2.1. Released v2.2.0.
% 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 : n008.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 04:11:20 PM UTC 2026
% Result : Satisfiable 1.22s 1.71s
% Output : Saturation 1.22s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(pixley3,axiom,
add(multiply(X1,inverse(X2)),add(multiply(X1,X1),multiply(inverse(X2),X1))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pixley3) ).
cnf(multiply_add_property,axiom,
multiply(X1,add(X2,X3)) = add(multiply(X2,X1),multiply(X3,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_add_property) ).
cnf(pixley2,axiom,
add(multiply(X1,inverse(X2)),add(multiply(X1,X2),multiply(inverse(X2),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pixley2) ).
cnf(pixley1,axiom,
add(multiply(X1,inverse(X1)),add(multiply(X1,X2),multiply(inverse(X1),X2))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pixley1) ).
cnf(additive_inverse,axiom,
add(X1,inverse(X1)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse) ).
cnf(prove_idempotence,negated_conjecture,
add(a,a) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_idempotence) ).
cnf(c_0_6,axiom,
add(multiply(X1,inverse(X2)),add(multiply(X1,X1),multiply(inverse(X2),X1))) = X1,
pixley3 ).
cnf(c_0_7,axiom,
multiply(X1,add(X2,X3)) = add(multiply(X2,X1),multiply(X3,X1)),
multiply_add_property,
[final] ).
cnf(c_0_8,axiom,
add(multiply(X1,inverse(X2)),add(multiply(X1,X2),multiply(inverse(X2),X2))) = X1,
pixley2 ).
cnf(c_0_9,axiom,
add(multiply(X1,inverse(X1)),add(multiply(X1,X2),multiply(inverse(X1),X2))) = X2,
pixley1 ).
cnf(c_0_10,axiom,
add(X1,inverse(X1)) = one,
additive_inverse,
[final] ).
cnf(c_0_11,negated_conjecture,
add(a,a) != a,
prove_idempotence,
[final] ).
cnf(c_0_12,plain,
add(multiply(X1,inverse(X2)),multiply(X1,add(X1,inverse(X2)))) = X1,
inference(rw,[status(thm)],[c_0_6,c_0_7]),
[final] ).
cnf(c_0_13,plain,
add(multiply(X1,inverse(X2)),multiply(X2,add(X1,inverse(X2)))) = X1,
inference(rw,[status(thm)],[c_0_8,c_0_7]),
[final] ).
cnf(c_0_14,plain,
add(multiply(X1,inverse(X1)),multiply(X2,one)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_7]),c_0_10]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO027-1 : TPTP v9.2.1. Released v2.2.0.
% 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
% 0.16/0.32 % Computer : n008.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 10:45:00 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.22/1.71 % Version : CSE_E---1.7
% 1.22/1.71 % Problem : theBenchmark.p
% 1.22/1.71 % SZS status Satisfiable for theBenchmark.p
% 1.22/1.71 % SZS output start Saturation
% See solution above
% 1.22/1.71 % Total time : 1.371s
%------------------------------------------------------------------------------