TSTP Solution File: SEU123+1 by ConnectPP---0.2.2
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% File : ConnectPP---0.2.2
% Problem : SEU123+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n022.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 : Wed Mar 6 09:20:16 EST 2024
% Result : Theorem 0.14s 0.34s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU123+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Mar 3 10:51:19 EST 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % SZS status Theorem for theBenchmark
% 0.14/0.34 % SZS output start Proof for theBenchmark
% 0.14/0.34
% 0.14/0.34 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.14/0.34 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.14/0.34
% 0.14/0.34 % Formula: d10_xboole_0 ( axiom ) converted to clauses:
% 0.14/0.34 cnf(d10_xboole_0-1, axiom, ( ( _u6 != _u4) | subset(_u6, _u4) )).
% 0.14/0.34 cnf(d10_xboole_0-2, axiom, ( ( _u6 != _u4) | subset(_u4, _u6) )).
% 0.14/0.34 cnf(d10_xboole_0-3, axiom, ( ~subset(_u7, _u5) | ~subset(_u5, _u7) | ( _u7 = _u5) )).
% 0.14/0.34
% 0.14/0.34 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 0.14/0.34
% 0.14/0.34 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 0.14/0.34 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 0.14/0.34
% 0.14/0.34 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.14/0.34 cnf(rc1_xboole_0-1, axiom, ( empty(skolem1) )).
% 0.14/0.34
% 0.14/0.34 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.14/0.34 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem2) )).
% 0.14/0.34
% 0.14/0.34 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.14/0.34 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u11, _u11) )).
% 0.14/0.34
% 0.14/0.34 % Formula: t2_xboole_1 ( axiom ) converted to clauses:
% 0.14/0.34 cnf(t2_xboole_1-1, axiom, ( subset(empty_set, _u12) )).
% 0.14/0.34
% 0.14/0.34 % Formula: t3_xboole_1 ( conjecture ) converted to clauses:
% 0.14/0.34 cnf(t3_xboole_1-1, negated_conjecture, ( subset(skolem3, empty_set) )).
% 0.14/0.34 cnf(t3_xboole_1-2, negated_conjecture, ( ( skolem3 != empty_set) )).
% 0.14/0.34
% 0.14/0.34 % Formula: t6_boole ( axiom ) converted to clauses:
% 0.14/0.34 cnf(t6_boole-1, axiom, ( ~empty(_u14) | ( _u14 = empty_set) )).
% 0.14/0.34
% 0.14/0.34 % Formula: t7_boole ( axiom ) converted to clauses:
% 0.14/0.34 cnf(t7_boole-1, axiom, ( ~in(_u16, _u15) | ~empty(_u15) )).
% 0.14/0.34
% 0.14/0.34 % Formula: t8_boole ( axiom ) converted to clauses:
% 0.14/0.34 cnf(t8_boole-1, axiom, ( ~empty(_u18) | ( _u18 = _u17) | ~empty(_u17) )).
% 0.14/0.34
% 0.14/0.34 % Problem matrix:
% 0.14/0.34 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.14/0.34 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.14/0.34 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.14/0.34 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.14/0.34 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 0.14/0.34 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.14/0.34 cnf(matrix-6, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.14/0.34 cnf(matrix-7, plain, ( ( _u6 != _u4) | subset(_u6, _u4) )).
% 0.14/0.34 cnf(matrix-8, plain, ( ( _u6 != _u4) | subset(_u4, _u6) )).
% 0.14/0.34 cnf(matrix-9, plain, ( ~subset(_u7, _u5) | ~subset(_u5, _u7) | ( _u7 = _u5) )).
% 0.14/0.34 cnf(matrix-10, plain, ( empty(empty_set) )).
% 0.14/0.34 cnf(matrix-11, plain, ( empty(skolem1) )).
% 0.14/0.34 cnf(matrix-12, plain, ( ~empty(skolem2) )).
% 0.14/0.34 cnf(matrix-13, plain, ( subset(_u11, _u11) )).
% 0.14/0.34 cnf(matrix-14, plain, ( subset(empty_set, _u12) )).
% 0.14/0.34 cnf(matrix-15, plain, ( subset(skolem3, empty_set) )).
% 0.14/0.34 cnf(matrix-16, plain, ( ( skolem3 != empty_set) )).
% 0.14/0.34 cnf(matrix-17, plain, ( ~empty(_u14) | ( _u14 = empty_set) )).
% 0.14/0.34 cnf(matrix-18, plain, ( ~in(_u16, _u15) | ~empty(_u15) )).
% 0.14/0.34 cnf(matrix-19, plain, ( ~empty(_u18) | ( _u18 = _u17) | ~empty(_u17) )).
% 0.14/0.34
% 0.14/0.34 % Proof stack:
% 0.14/0.34 cnf(proof-stack, plain,
% 0.14/0.34 proof_stack(
% 0.14/0.34 start(16),
% 0.14/0.34 left_branch(0, 9, 2, 2),
% 0.14/0.34 left_branch(0, 15, 0, 3),
% 0.14/0.34 right_branch(3),
% 0.14/0.34 left_branch(0, 14, 0, 4),
% 0.14/0.34 right_branch(4),
% 0.14/0.34 right_branch(2)
% 0.14/0.34 )).
% 0.14/0.34 % SZS output end Proof for theBenchmark
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