%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN179-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n001.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 03:39:22 PM UTC 2026
% Result : Unsatisfiable 4.43s 1.32s
% Output : CNFRefutation 4.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 27
% Syntax : Number of formulae : 82 ( 31 unt; 0 def)
% Number of atoms : 188 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 216 ( 110 ~; 106 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 21 ( 20 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 76 ( 0 sgn 76 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f21,axiom,
q0(b,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_21) ).
fof(f25,axiom,
q0(d,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_25) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f72,axiom,
! [X0,X1] :
( ~ q0(X0,X0)
| ~ k1(X1)
| ~ k1(a)
| m1(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_034) ).
fof(f98,axiom,
( ~ k0(b)
| ~ m1(d,e,e)
| ~ q0(b,e)
| n1(d,d,b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_060) ).
fof(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f155,axiom,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_117) ).
fof(f162,axiom,
! [X0,X1] :
( ~ q1(d,X1,d)
| ~ s0(d)
| ~ q0(X0,X1)
| r1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f219,axiom,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).
fof(f225,axiom,
! [X2,X3,X0,X1] :
( ~ q2(X1,X1,X1)
| ~ k0(X1)
| ~ m0(X2,X3,X0)
| ~ r1(X1)
| q2(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_187) ).
fof(f228,axiom,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_190) ).
fof(f293,axiom,
! [X2,X0,X1] :
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_255) ).
fof(f295,axiom,
! [X2,X0,X1] :
( ~ q3(X1,X0)
| ~ s2(X0)
| ~ n1(X2,X0,X1)
| q3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_257) ).
fof(f296,axiom,
! [X2,X0,X1] :
( ~ l2(X2,X2)
| ~ s1(X1)
| ~ r2(X0)
| q3(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_258) ).
fof(f369,negated_conjecture,
! [X0] : ~ q3(d,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
! [X0: $i] : ~ q3(d,X0),
inference(cnf_transformation,[],[f369]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_432,plain,
! [X0: $i,X1: $i,X2: $i] :
( q3(X2,X2)
| ~ r2(X2)
| ~ s1(X1)
| ~ l2(X0,X0) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_433,plain,
! [X0: $i,X1: $i,X2: $i] :
( q3(X1,X2)
| ~ s2(X1)
| ~ q3(X2,X1)
| ~ n1(X0,X1,X2) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_435,plain,
! [X0: $i,X1: $i,X2: $i] :
( q3(X1,X2)
| ~ n0(X0,X1)
| ~ q2(X0,X1,X2) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_481,plain,
q0(a,b),
inference(cnf_transformation,[],[f36]) ).
tcf(c_572,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_573,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_579,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_580,plain,
n0(d,e),
inference(cnf_transformation,[],[f3]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X1)
| ~ k1(a)
| ~ k1(X1)
| ~ q0(X0,X0) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_615,plain,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_622,plain,
! [X0: $i,X1: $i,X2: $i] :
( s1(X0)
| ~ s1(X2)
| ~ q0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_623,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_640,plain,
! [X0: $i] :
( q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_656,plain,
( n1(d,d,b)
| ~ k0(b)
| ~ q0(b,e)
| ~ m1(d,e,e) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_662,plain,
q0(d,d),
inference(cnf_transformation,[],[f25]) ).
tcf(c_663,plain,
q0(b,e),
inference(cnf_transformation,[],[f21]) ).
tcf(c_664,plain,
! [X0: $i] : q0(X0,d),
inference(cnf_transformation,[],[f17]) ).
tcf(c_670,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_672,plain,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_680,plain,
s0(d),
inference(cnf_transformation,[],[f1]) ).
tcf(c_739,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_741,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_742,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( q2(X2,X3,X2)
| ~ r1(X3)
| ~ k0(X3)
| ~ q2(X3,X3,X3)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_750,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ s0(d)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_754,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_670]) ).
tcf(c_755,plain,
q0(b,d),
inference(instantiation,[status(thm)],[c_664]) ).
tcf(c_756,plain,
~ q3(d,b),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_759,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_623]) ).
tcf(c_763,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_739]) ).
tcf(c_798,plain,
( q2(b,b,b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_640]) ).
tcf(c_995,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q1(d,X0,d)
| ~ q0(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_750,c_680,c_750]) ).
tcf(c_996,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(renaming,[status(thm)],[c_995]) ).
tcf(c_1012,plain,
( n1(d,d,b)
| ~ m1(d,e,e) ),
inference(global_subsumption_just,[status(thm)],[c_656,c_741,c_663,c_656]) ).
tcf(c_1067,plain,
! [X0: $i] :
( ~ iPr_def_33
| ~ s1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_432]) ).
tcf(c_1074,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_38
| s1(X0)
| ~ q0(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_622]) ).
tcf(c_1075,plain,
( iPr_def_38
| iPr_def_33 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_622]) ).
tcf(c_1122,plain,
( ~ iPr_def_33
| ~ s1(b) ),
inference(instantiation,[status(thm)],[c_1067]) ).
tcf(c_1163,plain,
! [X0: $i] :
( r1(X0)
| ~ q0(X0,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_996]) ).
tcf(c_1164,plain,
( r1(b)
| ~ q0(b,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1163]) ).
tcf(c_1173,plain,
! [X0: $i] :
( q3(b,X0)
| ~ n0(d,b)
| ~ q2(d,b,X0) ),
inference(instantiation,[status(thm)],[c_435]) ).
tcf(c_1189,plain,
( k1(e)
| ~ n0(d,e) ),
inference(instantiation,[status(thm)],[c_572]) ).
tcf(c_1196,plain,
( k1(a)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_572]) ).
tcf(c_1208,plain,
! [X0: $i] :
( s1(a)
| ~ iPr_def_38
| ~ q0(a,X0) ),
inference(instantiation,[status(thm)],[c_1074]) ).
tcf(c_1209,plain,
( s1(a)
| ~ iPr_def_38
| ~ q0(a,b) ),
inference(instantiation,[status(thm)],[c_1208]) ).
tcf(c_1451,plain,
! [X0: $i] : m0(X0,d,d),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_1571,plain,
( q3(b,d)
| ~ n0(d,b)
| ~ q2(d,b,d) ),
inference(instantiation,[status(thm)],[c_1173]) ).
tcf(c_1760,plain,
( m1(d,e,e)
| ~ k1(a)
| ~ k1(e)
| ~ q0(d,d) ),
inference(instantiation,[status(thm)],[c_597]) ).
tcf(c_1848,plain,
! [X0: $i,X1: $i] :
( q2(d,b,d)
| ~ r1(b)
| ~ k0(b)
| ~ q2(b,b,b)
| ~ m0(X0,X1,d) ),
inference(instantiation,[status(thm)],[c_744]) ).
tcf(c_1867,plain,
! [X0: $i,X1: $i] :
( q3(d,X1)
| ~ s2(d)
| ~ q3(X1,d)
| ~ n1(X0,d,X1) ),
inference(instantiation,[status(thm)],[c_433]) ).
tcf(c_2199,plain,
! [X0: $i] :
( q2(d,b,d)
| ~ r1(b)
| ~ k0(b)
| ~ q2(b,b,b)
| ~ m0(X0,d,d) ),
inference(instantiation,[status(thm)],[c_1848]) ).
tcf(c_2321,plain,
( q3(d,b)
| ~ s2(d)
| ~ q3(b,d)
| ~ n1(d,d,b) ),
inference(instantiation,[status(thm)],[c_1867]) ).
tcf(c_2322,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2321,c_2199,c_1760,c_1571,c_1451,c_1209,c_1196,c_1189,c_1164,c_1122,c_1075,c_1012,c_672,c_798,c_615,c_763,c_759,c_756,c_481,c_573,c_579,c_580,c_662,c_755,c_754,c_680,c_741,c_742]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN179-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 00:30:08 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.43 Running EPR theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.45
% 0.13/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.45
% 0.13/0.45 % Detected problem language: tptp
% 0.13/0.46 % Proving...
% 4.43/1.32 % SZS status Started for theBenchmark.p
% 4.43/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 4.43/1.32
% 4.43/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.43/1.32
% 4.43/1.32 % ------ iProver source info
% 4.43/1.32
% 4.43/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 4.43/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.43/1.32 % git: non_committed_changes: false
% 4.43/1.32
% 4.43/1.32 % ------ Parsing...% successful
% 4.43/1.32
% 4.43/1.32
% 4.43/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 4.43/1.32 %
% 4.43/1.32
% 4.43/1.32 % ------ Preprocessing... sf_s rm: 115 0s sf_e sf_s rm: 0 0s sf_e %
% 4.43/1.32
% 4.43/1.32 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 4.43/1.32 gs_s sp: 64 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.43/1.32 % ------ Proving...
% 4.43/1.32 % ------ Problem Properties
% 4.43/1.32
% 4.43/1.32 %
% 4.43/1.32 % clauses 256
% 4.43/1.32 % conjectures 1
% 4.43/1.32 % EPR 256
% 4.43/1.32 % Horn 224
% 4.43/1.32 % unary 50
% 4.43/1.32 % binary 103
% 4.43/1.32 % lits 605
% 4.43/1.32 % lits eq 0
% 4.43/1.32 % fd_pure 0
% 4.43/1.32 % fd_pseudo 0
% 4.43/1.32 % fd_cond 0
% 4.43/1.32 % fd_pseudo_cond 0
% 4.43/1.32 % AC symbols 0
% 4.43/1.32
% 4.43/1.32 % ------ Schedule EPR non Horn non eq is on
% 4.43/1.32
% 4.43/1.32 % ------ no equalities: superposition off
% 4.43/1.32
% 4.43/1.32 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.43/1.32
% 4.43/1.32
% 4.43/1.32 % ------
% 4.43/1.32 % Current options:
% 4.43/1.32 % ------
% 4.43/1.32
% 4.43/1.32
% 4.43/1.32 %
% 4.43/1.32
% 4.43/1.32 % ------ Proving...
% 4.43/1.32 %
% 4.43/1.32
% 4.43/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 4.43/1.32
% 4.43/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.43/1.32
% 4.43/1.32
%------------------------------------------------------------------------------