%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM011-1 : TPTP v9.2.1. Released v3.2.0.
% 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 : 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 04:13:07 PM UTC 2026
% Result : Unsatisfiable 18.36s 11.45s
% Output : CNFRefutation 18.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 29 ( 11 unt; 3 nHn; 23 RR)
% Number of literals : 53 ( 0 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 66 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_ODiffE_1,axiom,
( c_in(X1,X2,X4)
| ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_ODiffE_1) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).
cnf(cls_WFair_Otransient__strengthen_0,axiom,
( c_in(X1,c_WFair_Otransient(X4,X3),tc_UNITY_Oprogram(X3))
| ~ c_in(X1,c_WFair_Otransient(X2,X3),tc_UNITY_Oprogram(X3))
| ~ c_lessequals(X4,X2,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WFair_Otransient__strengthen_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Set_OsubsetI_1,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).
cnf(cls_UNITY_Oconstrains__weaken__L_0,axiom,
( c_in(X1,c_UNITY_Oconstrains(X5,X3,X4),tc_UNITY_Oprogram(X4))
| ~ c_in(X1,c_UNITY_Oconstrains(X2,X3,X4),tc_UNITY_Oprogram(X4))
| ~ c_lessequals(X5,X2,tc_set(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oconstrains__weaken__L_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_WFair_OensuresI_0,axiom,
( c_in(X1,c_WFair_Oensures(X2,X3,X4),tc_UNITY_Oprogram(X4))
| ~ c_in(X1,c_UNITY_Oconstrains(c_minus(X2,X3,tc_set(X4)),c_union(X2,X3,X4),X4),tc_UNITY_Oprogram(X4))
| ~ c_in(X1,c_WFair_Otransient(c_minus(X2,X3,tc_set(X4)),X4),tc_UNITY_Oprogram(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WFair_OensuresI_0) ).
cnf(cls_WFair_OleadsTo__Basis_0,axiom,
( c_in(X1,c_WFair_OleadsTo(X2,X3,X4),tc_UNITY_Oprogram(X4))
| ~ c_in(X1,c_WFair_Oensures(X2,X3,X4),tc_UNITY_Oprogram(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WFair_OleadsTo__Basis_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_0_10,axiom,
( c_in(X1,X2,X4)
| ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) ),
cls_Set_ODiffE_1 ).
cnf(c_0_11,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
cls_Set_OsubsetI_0 ).
cnf(c_0_12,axiom,
( c_in(X1,c_WFair_Otransient(X4,X3),tc_UNITY_Oprogram(X3))
| ~ c_in(X1,c_WFair_Otransient(X2,X3),tc_UNITY_Oprogram(X3))
| ~ c_lessequals(X4,X2,tc_set(X3)) ),
cls_WFair_Otransient__strengthen_0 ).
cnf(c_0_13,negated_conjecture,
c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)),
cls_conjecture_1 ).
cnf(c_0_14,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
cls_Set_OsubsetI_1 ).
cnf(c_0_15,plain,
( c_lessequals(c_minus(X1,X2,tc_set(X3)),X4,tc_set(X3))
| c_in(c_Main_OsubsetI__1(c_minus(X1,X2,tc_set(X3)),X4,X3),X1,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( c_in(v_F,c_WFair_Otransient(X1,t_a),tc_UNITY_Oprogram(t_a))
| ~ c_lessequals(X1,v_A,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
c_lessequals(c_minus(X1,X2,tc_set(X3)),X1,tc_set(X3)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,axiom,
( c_in(X1,c_UNITY_Oconstrains(X5,X3,X4),tc_UNITY_Oprogram(X4))
| ~ c_in(X1,c_UNITY_Oconstrains(X2,X3,X4),tc_UNITY_Oprogram(X4))
| ~ c_lessequals(X5,X2,tc_set(X4)) ),
cls_UNITY_Oconstrains__weaken__L_0 ).
cnf(c_0_19,negated_conjecture,
c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)),
cls_conjecture_0 ).
cnf(c_0_20,axiom,
( c_in(X1,c_WFair_Oensures(X2,X3,X4),tc_UNITY_Oprogram(X4))
| ~ c_in(X1,c_UNITY_Oconstrains(c_minus(X2,X3,tc_set(X4)),c_union(X2,X3,X4),X4),tc_UNITY_Oprogram(X4))
| ~ c_in(X1,c_WFair_Otransient(c_minus(X2,X3,tc_set(X4)),X4),tc_UNITY_Oprogram(X4)) ),
cls_WFair_OensuresI_0 ).
cnf(c_0_21,negated_conjecture,
c_in(v_F,c_WFair_Otransient(c_minus(v_A,X1,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( c_in(v_F,c_UNITY_Oconstrains(X1,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a))
| ~ c_lessequals(X1,v_A,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( c_in(v_F,c_WFair_Oensures(v_A,X1,t_a),tc_UNITY_Oprogram(t_a))
| ~ c_in(v_F,c_UNITY_Oconstrains(c_minus(v_A,X1,tc_set(t_a)),c_union(v_A,X1,t_a),t_a),tc_UNITY_Oprogram(t_a)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
c_in(v_F,c_UNITY_Oconstrains(c_minus(v_A,X1,tc_set(t_a)),c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)),
inference(spm,[status(thm)],[c_0_22,c_0_17]) ).
cnf(c_0_25,axiom,
( c_in(X1,c_WFair_OleadsTo(X2,X3,X4),tc_UNITY_Oprogram(X4))
| ~ c_in(X1,c_WFair_Oensures(X2,X3,X4),tc_UNITY_Oprogram(X4)) ),
cls_WFair_OleadsTo__Basis_0 ).
cnf(c_0_26,negated_conjecture,
c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
~ c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
cls_conjecture_2 ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM011-1 : TPTP v9.2.1. Released v3.2.0.
% 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
% 0.16/0.33 % Computer : n011.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 16:20:02 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 18.36/11.45 % Version : CSE_E---1.7
% 18.36/11.45 % Problem : theBenchmark.p
% 18.36/11.45 % SZS status Unsatisfiable for theBenchmark.p
% 18.36/11.45 % SZS output start CNFRefutation
% See solution above
% 18.46/11.51 % Total time : 8.442s
%------------------------------------------------------------------------------