%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL185-3 : TPTP v9.2.1. Released v2.3.0.
% 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 : 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 04:39:37 PM UTC 2026
% Result : Unsatisfiable 0.41s 1.61s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_10)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1_6,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(implies_definition,axiom,
implies(X1,X2) = or(not(X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X1,X1),X1)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(prove_this,negated_conjecture,
~ theorem(implies(p,or(p,q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(axiom_1_3,axiom,
axiom(implies(X1,or(X2,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(rule_2,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(rule_1,axiom,
( theorem(X1)
| ~ axiom(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(i_0_9,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
axiom_1_6 ).
cnf(i_0_10,axiom,
implies(X1,X2) = or(not(X1),X2),
implies_definition ).
cnf(i_0_11,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(i_0_12,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
axiom_1_4 ).
cnf(i_0_13,axiom,
axiom(implies(or(X1,X1),X1)),
axiom_1_2 ).
cnf(i_0_14,negated_conjecture,
~ theorem(implies(p,or(p,q))),
prove_this ).
cnf(i_0_15,axiom,
axiom(implies(X1,or(X2,X1))),
axiom_1_3 ).
cnf(i_0_16,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
rule_2 ).
cnf(i_0_17,plain,
axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_9,c_0_10]),c_0_10]),c_0_10]),
[final] ).
cnf(i_0_18,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rw,[status(thm)],[i_0_11,c_0_10]),
[final] ).
cnf(i_0_19,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))),
inference(rw,[status(thm)],[i_0_12,c_0_10]),
[final] ).
cnf(i_0_20,plain,
axiom(or(not(or(X1,X1)),X1)),
inference(rw,[status(thm)],[i_0_13,c_0_10]),
[final] ).
cnf(i_0_21,negated_conjecture,
~ theorem(or(not(p),or(p,q))),
inference(rw,[status(thm)],[i_0_14,c_0_10]),
[final] ).
cnf(i_0_22,plain,
axiom(or(not(X1),or(X2,X1))),
inference(rw,[status(thm)],[i_0_15,c_0_10]),
[final] ).
cnf(i_0_23,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
inference(rw,[status(thm)],[i_0_16,c_0_10]),
[final] ).
cnf(i_0_24,axiom,
( theorem(X1)
| ~ axiom(X1) ),
rule_1,
[final] ).
cnf(i_0_25,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(scs_inference,[],[i_0_17,i_0_24]) ).
cnf(i_0_26,plain,
( ~ axiom(X1)
| theorem(X1) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_27,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(scs_inference,[],[i_0_17,i_0_24,i_0_23]) ).
cnf(i_0_28,plain,
( ~ theorem(or(not(X1),X2))
| theorem(X2)
| ~ theorem(X1) ),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_29,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(scs_inference,[],[i_0_19,i_0_24]) ).
cnf(i_0_30,plain,
( ~ axiom(X1)
| theorem(X1) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_31,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(scs_inference,[],[i_0_25,i_0_19,i_0_24,i_0_23]) ).
cnf(i_0_32,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_33,plain,
( ~ theorem(or(not(X1),X2))
| theorem(X2)
| ~ theorem(X1) ),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_34,plain,
theorem(or(not(X1),or(X2,X1))),
inference(scs_inference,[],[i_0_22,i_0_24]) ).
cnf(i_0_35,plain,
( ~ axiom(X1)
| theorem(X1) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_36,plain,
$false,
inference(scs_inference,[],[i_0_21,i_0_31,i_0_22,i_0_24,i_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL185-3 : TPTP v9.2.1. Released v2.3.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n008.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 22:11:13 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.41/1.61 % Version : CSE_E---1.7
% 0.41/1.61 % Problem : theBenchmark.p
% 0.41/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.41/1.61 % SZS output start CNFRefutation
% See solution above
% 0.41/1.64 % Total time : 1.269s
%------------------------------------------------------------------------------