%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM011-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:04:18 PM UTC 2026
% Result : Unsatisfiable 1.80s 1.28s
% Output : CNFRefutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 17 unt; 5 def)
% Number of atoms : 178 ( 5 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 114 ( 57 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 98 ( 0 sgn 98 !; 0 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
~ c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X1,X3)
| ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffE_1) ).
fof(f5,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f6,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( c_in(X0,c_UNITY_Oconstrains(X4,X2,X3),tc_UNITY_Oprogram(X3))
| ~ c_lessequals(X4,X1,tc_set(X3))
| ~ c_in(X0,c_UNITY_Oconstrains(X1,X2,X3),tc_UNITY_Oprogram(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Oconstrains__weaken__L_0) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_WFair_Oensures(X1,X2,X3),tc_UNITY_Oprogram(X3))
| ~ c_in(X0,c_WFair_Otransient(c_minus(X1,X2,tc_set(X3)),X3),tc_UNITY_Oprogram(X3))
| ~ c_in(X0,c_UNITY_Oconstrains(c_minus(X1,X2,tc_set(X3)),c_union(X1,X2,X3),X3),tc_UNITY_Oprogram(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WFair_OensuresI_0) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_WFair_OleadsTo(X1,X2,X3),tc_UNITY_Oprogram(X3))
| ~ c_in(X0,c_WFair_Oensures(X1,X2,X3),tc_UNITY_Oprogram(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WFair_OleadsTo__Basis_0) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_WFair_Otransient(X3,X2),tc_UNITY_Oprogram(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_in(X0,c_WFair_Otransient(X1,X2),tc_UNITY_Oprogram(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WFair_Otransient__strengthen_0) ).
tcf(c_59,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)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_60,negated_conjecture,
c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_61,negated_conjecture,
~ c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X1,X3)
| ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_UNITY_Oconstrains(X4,X2,X3),tc_UNITY_Oprogram(X3))
| ~ c_lessequals(X4,X1,tc_set(X3))
| ~ c_in(X0,c_UNITY_Oconstrains(X1,X2,X3),tc_UNITY_Oprogram(X3)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_WFair_Oensures(X1,X2,X3),tc_UNITY_Oprogram(X3))
| ~ c_in(X0,c_WFair_Otransient(c_minus(X1,X2,tc_set(X3)),X3),tc_UNITY_Oprogram(X3))
| ~ c_in(X0,c_UNITY_Oconstrains(c_minus(X1,X2,tc_set(X3)),c_union(X1,X2,X3),X3),tc_UNITY_Oprogram(X3)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_WFair_OleadsTo(X1,X2,X3),tc_UNITY_Oprogram(X3))
| ~ c_in(X0,c_WFair_Oensures(X1,X2,X3),tc_UNITY_Oprogram(X3)) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_WFair_Otransient(X3,X2),tc_UNITY_Oprogram(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_in(X0,c_WFair_Otransient(X1,X2),tc_UNITY_Oprogram(X2)) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_166,definition,
iPr_def_10 = c_WFair_OleadsTo(v_A,v_B,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_167,definition,
iPr_def_11 = tc_UNITY_Oprogram(t_a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_168,definition,
iPr_def_12 = c_WFair_Otransient(v_A,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_169,definition,
iPr_def_13 = c_union(v_A,v_B,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_170,definition,
iPr_def_14 = c_UNITY_Oconstrains(v_A,iPr_def_13,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_171,negated_conjecture,
~ c_in(v_F,iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_61,c_167,c_166]) ).
tcf(c_172,negated_conjecture,
c_in(v_F,iPr_def_12,iPr_def_11),
inference(demodulation,[status(thm)],[c_60,c_168]) ).
tcf(c_173,negated_conjecture,
c_in(v_F,iPr_def_14,iPr_def_11),
inference(demodulation,[status(thm)],[c_59,c_169,c_170]) ).
tcf(c_425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_minus(X0,X1,tc_set(X2)),X3,X2),X0,X2) ),
inference(superposition,[status(thm)],[c_63,c_62]) ).
tcf(c_433,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,X0,tc_set(X1)),
inference(superposition,[status(thm)],[c_63,c_64]) ).
tcf(c_440,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_WFair_OleadsTo(X1,X2,t_a),tc_UNITY_Oprogram(t_a))
| ~ c_in(X0,c_WFair_Oensures(X1,X2,t_a),iPr_def_11) ),
inference(superposition,[status(thm)],[c_167,c_67]) ).
tcf(c_441,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_WFair_OleadsTo(X1,X2,t_a),iPr_def_11)
| ~ c_in(X0,c_WFair_Oensures(X1,X2,t_a),iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_440,c_167]) ).
tcf(c_455,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_WFair_Otransient(X1,t_a),tc_UNITY_Oprogram(t_a))
| ~ c_lessequals(X1,v_A,tc_set(t_a))
| ~ c_in(X0,iPr_def_12,tc_UNITY_Oprogram(t_a)) ),
inference(superposition,[status(thm)],[c_168,c_68]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_WFair_Otransient(X2,t_a),tc_UNITY_Oprogram(t_a))
| ~ c_lessequals(X2,X1,tc_set(t_a))
| ~ c_in(X0,c_WFair_Otransient(X1,t_a),iPr_def_11) ),
inference(superposition,[status(thm)],[c_167,c_68]) ).
tcf(c_457,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_WFair_Otransient(X0,t_a),iPr_def_11)
| ~ c_in(X1,iPr_def_12,iPr_def_11)
| ~ c_lessequals(X0,v_A,tc_set(t_a)) ),
inference(light_normalisation,[status(thm)],[c_455,c_167]) ).
tcf(c_461,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_WFair_Otransient(X2,t_a),iPr_def_11)
| ~ c_lessequals(X2,X1,tc_set(t_a))
| ~ c_in(X0,c_WFair_Otransient(X1,t_a),iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_456,c_167]) ).
tcf(c_497,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_WFair_Otransient(X0,t_a),iPr_def_11)
| ~ c_in(X2,iPr_def_12,iPr_def_11)
| ~ c_lessequals(X1,v_A,tc_set(t_a))
| ~ c_lessequals(X0,X1,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_457,c_461]) ).
tcf(c_512,plain,
! [X0: $i,X1: $i,X2: $i] : c_lessequals(c_minus(X0,X1,tc_set(X2)),X0,tc_set(X2)),
inference(superposition,[status(thm)],[c_425,c_64]) ).
tcf(c_559,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_UNITY_Oconstrains(X1,iPr_def_13,t_a),tc_UNITY_Oprogram(t_a))
| ~ c_lessequals(X1,v_A,tc_set(t_a))
| ~ c_in(X0,iPr_def_14,tc_UNITY_Oprogram(t_a)) ),
inference(superposition,[status(thm)],[c_170,c_65]) ).
tcf(c_561,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_UNITY_Oconstrains(X0,iPr_def_13,t_a),iPr_def_11)
| ~ c_in(X1,iPr_def_14,iPr_def_11)
| ~ c_lessequals(X0,v_A,tc_set(t_a)) ),
inference(light_normalisation,[status(thm)],[c_559,c_167]) ).
tcf(c_598,plain,
! [X0: $i] :
( c_in(X0,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a))
| ~ c_in(X0,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a))
| ~ c_in(X0,c_UNITY_Oconstrains(c_minus(v_A,v_B,tc_set(t_a)),iPr_def_13,t_a),tc_UNITY_Oprogram(t_a)) ),
inference(superposition,[status(thm)],[c_169,c_66]) ).
tcf(c_600,plain,
! [X0: $i] :
( c_in(X0,c_WFair_Oensures(v_A,v_B,t_a),iPr_def_11)
| ~ c_in(X0,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),iPr_def_11)
| ~ c_in(X0,c_UNITY_Oconstrains(c_minus(v_A,v_B,tc_set(t_a)),iPr_def_13,t_a),iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_598,c_167]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_WFair_Otransient(X0,t_a),iPr_def_11)
| ~ c_in(X2,iPr_def_12,iPr_def_11)
| ~ c_lessequals(X0,c_minus(v_A,X1,tc_set(t_a)),tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_512,c_497]) ).
tcf(c_704,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_WFair_Otransient(c_minus(v_A,X1,tc_set(t_a)),t_a),iPr_def_11)
| ~ c_in(X0,iPr_def_12,iPr_def_11) ),
inference(superposition,[status(thm)],[c_433,c_693]) ).
tcf(c_840,plain,
! [X0: $i] :
( c_in(X0,c_WFair_Oensures(v_A,v_B,t_a),iPr_def_11)
| ~ c_in(X0,iPr_def_14,iPr_def_11)
| ~ c_lessequals(c_minus(v_A,v_B,tc_set(t_a)),v_A,tc_set(t_a))
| ~ c_in(X0,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),iPr_def_11) ),
inference(superposition,[status(thm)],[c_561,c_600]) ).
tcf(c_841,plain,
! [X0: $i] :
( c_in(X0,c_WFair_Oensures(v_A,v_B,t_a),iPr_def_11)
| ~ c_in(X0,iPr_def_14,iPr_def_11)
| ~ c_in(X0,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_840,c_512]) ).
tcf(c_944,plain,
! [X0: $i] :
( c_in(X0,c_WFair_Oensures(v_A,v_B,t_a),iPr_def_11)
| ~ c_in(X0,iPr_def_14,iPr_def_11)
| ~ c_in(X0,iPr_def_12,iPr_def_11) ),
inference(superposition,[status(thm)],[c_704,c_841]) ).
tcf(c_975,plain,
! [X0: $i] :
( c_in(X0,c_WFair_OleadsTo(v_A,v_B,t_a),iPr_def_11)
| ~ c_in(X0,iPr_def_14,iPr_def_11)
| ~ c_in(X0,iPr_def_12,iPr_def_11) ),
inference(superposition,[status(thm)],[c_944,c_441]) ).
tcf(c_976,plain,
! [X0: $i] :
( c_in(X0,iPr_def_10,iPr_def_11)
| ~ c_in(X0,iPr_def_14,iPr_def_11)
| ~ c_in(X0,iPr_def_12,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_975,c_166]) ).
tcf(c_997,plain,
( c_in(v_F,iPr_def_10,iPr_def_11)
| ~ c_in(v_F,iPr_def_14,iPr_def_11) ),
inference(superposition,[status(thm)],[c_172,c_976]) ).
tcf(c_1000,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_997,c_171,c_173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM011-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 07:46:59 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 1.80/1.28 % SZS status Started for theBenchmark.p
% 1.80/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.80/1.28
% 1.80/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.80/1.28
% 1.80/1.28 % ------ iProver source info
% 1.80/1.28
% 1.80/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.80/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.80/1.28 % git: non_committed_changes: false
% 1.80/1.28
% 1.80/1.28 % ------ Parsing...% successful
% 1.80/1.28
% 1.80/1.28
% 1.80/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.80/1.28
% 1.80/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.80/1.28
% 1.80/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.80/1.28
% 1.80/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.80/1.28 % ------ Proving...
% 1.80/1.28 % ------ Problem Properties
% 1.80/1.28
% 1.80/1.28 %
% 1.80/1.28 % clauses 15
% 1.80/1.28 % conjectures 3
% 1.80/1.28 % EPR 3
% 1.80/1.28 % Horn 14
% 1.80/1.28 % unary 8
% 1.80/1.28 % binary 4
% 1.80/1.28 % lits 25
% 1.80/1.28 % lits eq 5
% 1.80/1.28 % fd_pure 0
% 1.80/1.28 % fd_pseudo 0
% 1.80/1.28 % fd_cond 0
% 1.80/1.28 % fd_pseudo_cond 0
% 1.80/1.28 % AC symbols 0
% 1.80/1.28
% 1.80/1.28 % ------ Schedule dynamic 5 is on
% 1.80/1.28
% 1.80/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.80/1.28
% 1.80/1.28
% 1.80/1.28 % ------
% 1.80/1.28 % Current options:
% 1.80/1.28 % ------
% 1.80/1.28
% 1.80/1.28
% 1.80/1.28 %
% 1.80/1.28
% 1.80/1.28 % ------ Proving...
% 1.80/1.28 %
% 1.80/1.28
% 1.80/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.80/1.28
% 1.80/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.80/1.28
% 1.80/1.28
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