%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV251-1 : 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 : n013.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 03:16:48 PM UTC 2026
% Result : Unsatisfiable 86.69s 12.70s
% Output : CNFRefutation 86.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 35 unt; 0 def)
% Number of atoms : 51 ( 23 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 89 ( 0 sgn 89 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3175,axiom,
! [X2,X0,X1] : c_union(X0,c_minus(X1,X0,tc_set(X2)),X2) = c_union(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__Diff__cancel_0) ).
fof(f3176,plain,
! [X2,X0,X1] : c_union(X0,X1,X2) = c_union(X0,c_minus(X1,X0,tc_set(X2)),X2),
inference(reorient_equations,[],[f3175]) ).
fof(f3181,axiom,
! [X0,X1] : c_union(X0,X0,X1) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__absorb_0) ).
fof(f3193,axiom,
! [X2,X3,X0,X1] : c_union(c_insert(X0,X1,X2),X3,X2) = c_insert(X0,c_union(X1,X3,X2),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__insert__left_0) ).
fof(f3194,axiom,
! [X2,X3,X0,X1] : c_union(X0,c_insert(X1,X2,X3),X3) = c_insert(X1,c_union(X0,X2,X3),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__insert__right_0) ).
fof(f3236,axiom,
! [X2,X3,X0,X1] :
( c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__Diff1_0) ).
fof(f3237,plain,
! [X2,X3,X0,X1] :
( c_minus(X3,X1,tc_set(X2)) = c_minus(c_insert(X0,X3,X2),X1,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
inference(reorient_equations,[],[f3236]) ).
fof(f3252,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__iff_1) ).
fof(f3371,axiom,
! [X2,X0,X1] : c_union(X0,c_union(X1,X0,X2),X2) = c_union(X1,X0,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-0.ax',cls_Message_Ostrange__Un__eq_0) ).
fof(f3372,plain,
! [X2,X0,X1] : c_union(X1,X0,X2) = c_union(X0,c_union(X1,X0,X2),X2),
inference(reorient_equations,[],[f3371]) ).
fof(f3388,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-1.ax',cls_Message_Oanalz_OInj_0) ).
fof(f3430,axiom,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Oanalz(X0),X1,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__analz__Un_0) ).
fof(f3436,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3437,negated_conjecture,
c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3438,negated_conjecture,
~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
tcf(c_2880,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(cnf_transformation,[],[f3436]) ).
tcf(c_2881,negated_conjecture,
c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[],[f3437]) ).
tcf(c_2882,negated_conjecture,
~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[],[f3438]) ).
tcf(c_2892,plain,
! [X0: $i,X1: $i] : c_Message_Oanalz(c_union(c_Message_Oanalz(X0),X1,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),
inference(cnf_transformation,[],[f3430]) ).
tcf(c_2900,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f3388]) ).
tcf(c_2912,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_insert(X0,X1,X2),X2),
inference(cnf_transformation,[],[f3252]) ).
tcf(c_2916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2)) )
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f3237]) ).
tcf(c_2922,plain,
! [X0: $i,X1: $i,X2: $i] : c_union(X0,c_union(X1,X0,X2),X2) = c_union(X1,X0,X2),
inference(cnf_transformation,[],[f3372]) ).
tcf(c_2926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_union(X0,c_insert(X1,X2,X3),X3) = c_insert(X1,c_union(X0,X2,X3),X3),
inference(cnf_transformation,[],[f3194]) ).
tcf(c_2927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_union(c_insert(X0,X1,X2),X3,X2) = c_insert(X0,c_union(X1,X3,X2),X2),
inference(cnf_transformation,[],[f3193]) ).
tcf(c_2936,plain,
! [X0: $i,X1: $i] : c_union(X0,X0,X1) = X0,
inference(cnf_transformation,[],[f3181]) ).
tcf(c_2939,plain,
! [X0: $i,X1: $i,X2: $i] : c_union(X0,c_minus(X1,X0,tc_set(X2)),X2) = c_union(X0,X1,X2),
inference(cnf_transformation,[],[f3176]) ).
tcf(c_26064,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_union(c_Message_Oanalz(X1),X2,tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_2892,c_2900]) ).
tcf(c_26146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oanalz(c_union(X2,c_insert(X1,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_insert(X1,c_union(c_Message_Oanalz(X2),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_2926,c_26064]) ).
tcf(c_26989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oanalz(c_insert(X1,c_union(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_insert(X1,c_union(c_Message_Oanalz(X2),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_26146,c_2926]) ).
tcf(c_26996,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Message_Oanalz(c_insert(X0,c_union(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_2912,c_26989]) ).
tcf(c_27147,plain,
! [X0: $i,X1: $i] : c_in(X0,c_Message_Oanalz(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_2936,c_26996]) ).
tcf(c_46178,plain,
! [X0: $i] : c_minus(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)) = c_minus(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_2880,c_2916]) ).
tcf(c_46179,plain,
! [X0: $i] : c_minus(c_insert(v_x,X0,tc_Message_Omsg),c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) = c_minus(X0,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_2881,c_2916]) ).
tcf(c_47367,plain,
! [X0: $i] : c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_minus(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),tc_Message_Omsg) = c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_insert(v_X,X0,tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_46178,c_2939]) ).
tcf(c_47451,plain,
! [X0: $i] : c_union(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_minus(X0,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),tc_Message_Omsg) = c_union(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_insert(v_x,X0,tc_Message_Omsg),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_46179,c_2939]) ).
tcf(c_49311,plain,
! [X0: $i] : c_insert(v_X,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X0,tc_Message_Omsg),tc_Message_Omsg) = c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X0,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_47367,c_2939,c_2926]) ).
tcf(c_52661,plain,
! [X0: $i] : c_insert(v_x,c_union(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),X0,tc_Message_Omsg),tc_Message_Omsg) = c_union(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),X0,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_47451,c_2939,c_2926]) ).
tcf(c_52678,plain,
! [X0: $i] : c_in(v_x,c_Message_Oanalz(c_union(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),X0,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_52661,c_27147]) ).
tcf(c_81331,plain,
! [X0: $i] : c_in(v_x,c_Message_Oanalz(c_insert(v_X,c_union(v_H,X0,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_52678,c_2892,c_2927]) ).
tcf(c_81333,plain,
! [X0: $i] : c_in(v_x,c_Message_Oanalz(c_insert(v_X,c_union(X0,v_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_2922,c_81331]) ).
tcf(c_127618,plain,
c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_49311,c_81333]) ).
tcf(c_127627,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_127618,c_2882]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV251-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.42 % Computer : n013.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Thu Sep 24 18:53:20 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.48 Running first-order theorem proving
% 0.16/0.48 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
% 0.16/0.50
% 0.16/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.50
% 0.16/0.50 % Detected problem language: tptp
% 0.24/0.52 % Proving...
% 86.69/12.70 % SZS status Started for theBenchmark.p
% 86.69/12.70 % SZS status Unsatisfiable for theBenchmark.p
% 86.69/12.70
% 86.69/12.70 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 86.69/12.70
% 86.69/12.70 % ------ iProver source info
% 86.69/12.70
% 86.69/12.70 % git: date: 2026-07-19 20:42:38 +0200
% 86.69/12.70 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 86.69/12.70 % git: non_committed_changes: false
% 86.69/12.70
% 86.69/12.70 % ------ Parsing...% successful
% 86.69/12.70
% 86.69/12.70
% 86.69/12.70 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 86.69/12.70
% 86.69/12.70 % ------ Preprocessing... sup_sim: 34 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 12 sf_s rm: 7 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe_e %
% 86.69/12.70
% 86.69/12.70 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 86.69/12.70
% 86.69/12.70 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 86.69/12.70 % ------ Proving...
% 86.69/12.70 % ------ Problem Properties
% 86.69/12.70
% 86.69/12.70 %
% 86.69/12.70 % clauses 457
% 86.69/12.70 % conjectures 3
% 86.69/12.70 % EPR 22
% 86.69/12.70 % Horn 405
% 86.69/12.70 % unary 176
% 86.69/12.70 % binary 202
% 86.69/12.70 % lits 819
% 86.69/12.70 % lits eq 316
% 86.69/12.70 % fd_pure 0
% 86.69/12.70 % fd_pseudo 0
% 86.69/12.70 % fd_cond 28
% 86.69/12.70 % fd_pseudo_cond 25
% 86.69/12.70 % AC symbols 0
% 86.69/12.70
% 86.69/12.70 % ------ Schedule dynamic 5 is on
% 86.69/12.70
% 86.69/12.70 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 86.69/12.70
% 86.69/12.70
% 86.69/12.70 % ------
% 86.69/12.70 % Current options:
% 86.69/12.70 % ------
% 86.69/12.70
% 86.69/12.70
% 86.69/12.70 %
% 86.69/12.70
% 86.69/12.70 % ------ Proving...
% 86.69/12.70 %
% 86.69/12.70
% 86.69/12.70 % SZS status Unsatisfiable for theBenchmark.p
% 86.69/12.70
% 86.69/12.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 86.69/12.70
% 86.69/12.70
%------------------------------------------------------------------------------