%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : BOO001-1 : TPTP v9.2.1. Released v1.0.0.
% 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 : n025.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 04:11:02 PM UTC 2026
% Result : Unsatisfiable 1.24s 2.21s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 3 RR)
% Number of literals : 17 ( 16 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-3 aty)
% Number of variables : 36 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) = multiply(X1,X2,multiply(X3,X4,X5)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO001-0.ax',associativity) ).
cnf(ternary_multiply_1,axiom,
multiply(X1,X2,X2) = X2,
file('/export/starexec/sandbox/benchmark/Axioms/BOO001-0.ax',ternary_multiply_1) ).
cnf(right_inverse,axiom,
multiply(X1,X2,inverse(X2)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/BOO001-0.ax',right_inverse) ).
cnf(ternary_multiply_2,axiom,
multiply(X1,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/BOO001-0.ax',ternary_multiply_2) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1,X2) = X2,
file('/export/starexec/sandbox/benchmark/Axioms/BOO001-0.ax',left_inverse) ).
cnf(prove_inverse_is_self_cancelling,negated_conjecture,
inverse(inverse(a)) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_is_self_cancelling) ).
cnf(c_0_6,axiom,
multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) = multiply(X1,X2,multiply(X3,X4,X5)),
associativity ).
cnf(c_0_7,axiom,
multiply(X1,X2,X2) = X2,
ternary_multiply_1 ).
cnf(c_0_8,plain,
multiply(multiply(X1,X2,X3),X4,X2) = multiply(X1,X2,multiply(X3,X4,X2)),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,axiom,
multiply(X1,X2,inverse(X2)) = X1,
right_inverse ).
cnf(c_0_10,plain,
multiply(X1,X2,multiply(inverse(X2),X3,X2)) = multiply(X1,X3,X2),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
multiply(X1,X1,X2) = X1,
ternary_multiply_2 ).
cnf(c_0_12,axiom,
multiply(inverse(X1),X1,X2) = X2,
left_inverse ).
cnf(c_0_13,plain,
multiply(X1,inverse(X2),X2) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_9]) ).
cnf(c_0_14,negated_conjecture,
inverse(inverse(a)) != a,
prove_inverse_is_self_cancelling ).
cnf(c_0_15,plain,
inverse(inverse(X1)) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.51 % Problem : BOO001-1 : TPTP v9.2.1. Released v1.0.0.
% 0.10/0.51 % 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
% 0.13/0.82 % Computer : n025.cluster.edu
% 0.13/0.82 % Model : x86_64 x86_64
% 0.13/0.82 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.82 % Memory : 8042.1875MB
% 0.13/0.82 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.82 % CPULimit : 300
% 0.13/0.82 % WCLimit : 300
% 0.13/0.82 % DateTime : Tue May 5 10:45:00 EDT 2026
% 0.13/0.82 % CPUTime :
% 0.13/0.83 % start to proof: theBenchmark
% 1.24/2.21 % Version : CSE_E---1.7
% 1.24/2.21 % Problem : theBenchmark.p
% 1.24/2.21 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/2.21 % SZS output start CNFRefutation
% See solution above
% 1.24/2.21 % Total time : 1.370s
%------------------------------------------------------------------------------