%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MSC005-1 : TPTP v9.2.1. Released v1.0.0.
% 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 : n011.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 04:48:44 PM UTC 2026
% Result : Unsatisfiable 0.25s 1.61s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 35 ( 18 unt; 0 nHn; 35 RR)
% Number of literals : 69 ( 0 equ; 47 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(evaluate_expression,negated_conjecture,
~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',evaluate_expression) ).
cnf(false_xor_false,axiom,
( value(xor(X1,X2),falsity)
| ~ value(X1,falsity)
| ~ value(X2,falsity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_xor_false) ).
cnf(true_xor_true,axiom,
( value(xor(X1,X2),falsity)
| ~ value(X1,truth)
| ~ value(X2,truth) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_xor_true) ).
cnf(true_xor_false,axiom,
( value(xor(X1,X2),truth)
| ~ value(X1,truth)
| ~ value(X2,falsity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_xor_false) ).
cnf(false_xor_true,axiom,
( value(xor(X1,X2),truth)
| ~ value(X1,falsity)
| ~ value(X2,truth) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_xor_true) ).
cnf(false_is_false,axiom,
value(falsity,falsity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_is_false) ).
cnf(true_is_true,axiom,
value(truth,truth),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_is_true) ).
cnf(i_0_7,negated_conjecture,
~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),X1),
evaluate_expression,
[final] ).
cnf(i_0_8,axiom,
( value(xor(X1,X2),falsity)
| ~ value(X1,falsity)
| ~ value(X2,falsity) ),
false_xor_false,
[final] ).
cnf(i_0_9,axiom,
( value(xor(X1,X2),falsity)
| ~ value(X1,truth)
| ~ value(X2,truth) ),
true_xor_true,
[final] ).
cnf(i_0_10,axiom,
( value(xor(X1,X2),truth)
| ~ value(X1,truth)
| ~ value(X2,falsity) ),
true_xor_false,
[final] ).
cnf(i_0_11,axiom,
( value(xor(X1,X2),truth)
| ~ value(X1,falsity)
| ~ value(X2,truth) ),
false_xor_true,
[final] ).
cnf(i_0_12,axiom,
value(falsity,falsity),
false_is_false,
[final] ).
cnf(i_0_13,axiom,
value(truth,truth),
true_is_true,
[final] ).
cnf(i_0_14,plain,
~ value(xor(xor(xor(truth,falsity),falsity),truth),falsity),
inference(scs_inference,[],[i_0_7,i_0_12,i_0_8]) ).
cnf(i_0_15,plain,
~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),X1),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_16,plain,
( value(xor(X1,X2),falsity)
| ~ value(X1,falsity)
| ~ value(X2,falsity) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_17,plain,
~ value(xor(xor(truth,falsity),falsity),truth),
inference(scs_inference,[],[i_0_7,i_0_12,i_0_13,i_0_8,i_0_9]) ).
cnf(i_0_18,plain,
( value(xor(X1,X2),falsity)
| ~ value(X1,truth)
| ~ value(X2,truth) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_19,plain,
~ value(xor(xor(xor(truth,falsity),falsity),truth),truth),
inference(scs_inference,[],[i_0_7,i_0_15,i_0_12,i_0_13,i_0_8,i_0_9,i_0_10]) ).
cnf(i_0_20,plain,
~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),X1),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_21,plain,
( value(xor(X1,X2),truth)
| ~ value(X1,truth)
| ~ value(X2,falsity) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_22,plain,
~ value(xor(xor(truth,falsity),falsity),falsity),
inference(scs_inference,[],[i_0_7,i_0_15,i_0_12,i_0_13,i_0_8,i_0_9,i_0_10,i_0_11]) ).
cnf(i_0_23,plain,
( value(xor(X1,X2),truth)
| ~ value(X1,falsity)
| ~ value(X2,truth) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_24,plain,
~ value(xor(truth,falsity),falsity),
inference(scs_inference,[],[i_0_22,i_0_12,i_0_8]) ).
cnf(i_0_25,plain,
( value(xor(X1,X2),falsity)
| ~ value(X1,falsity)
| ~ value(X2,falsity) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_26,plain,
~ value(falsity,truth),
inference(scs_inference,[],[i_0_22,i_0_12,i_0_13,i_0_8,i_0_9]) ).
cnf(i_0_27,plain,
( value(xor(X1,X2),falsity)
| ~ value(X1,truth)
| ~ value(X2,truth) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_28,plain,
~ value(xor(truth,falsity),truth),
inference(scs_inference,[],[i_0_17,i_0_22,i_0_12,i_0_13,i_0_8,i_0_9,i_0_10]) ).
cnf(i_0_29,plain,
( value(xor(X1,X2),truth)
| ~ value(X1,truth)
| ~ value(X2,falsity) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_30,plain,
~ value(truth,falsity),
inference(scs_inference,[],[i_0_24,i_0_12,i_0_8]) ).
cnf(i_0_31,plain,
( value(xor(X1,X2),falsity)
| ~ value(X1,falsity)
| ~ value(X2,falsity) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_32,plain,
~ value(falsity,truth),
inference(scs_inference,[],[i_0_24,i_0_13,i_0_12,i_0_8,i_0_9]) ).
cnf(i_0_33,plain,
( value(xor(X1,X2),falsity)
| ~ value(X1,truth)
| ~ value(X2,truth) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_34,plain,
$false,
inference(scs_inference,[],[i_0_24,i_0_28,i_0_13,i_0_12,i_0_8,i_0_9,i_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MSC005-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.11 % 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
% 0.15/0.33 % Computer : n011.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 23:33:47 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.25/1.61 % Version : CSE_E---1.7
% 0.25/1.61 % Problem : theBenchmark.p
% 0.25/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.25/1.61 % SZS output start CNFRefutation
% See solution above
% 0.25/1.66 % Total time : 1.273s
%------------------------------------------------------------------------------