%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN170-1 : 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 : 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 03:39:21 PM UTC 2026
% Result : Unsatisfiable 1.49s 1.09s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 20
% Syntax : Number of formulae : 74 ( 18 unt; 0 def)
% Number of atoms : 163 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 184 ( 95 ~; 89 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 25 ( 24 usr; 7 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 86 ( 0 sgn 86 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
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(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f29,axiom,
q0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_29) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_068) ).
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(f171,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_133) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f221,axiom,
! [X0,X1] :
( ~ l2(X1,X0)
| ~ l0(c)
| ~ k1(X1)
| q2(X0,c,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_183) ).
fof(f227,axiom,
! [X0] :
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_189) ).
fof(f282,axiom,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_244) ).
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(f302,axiom,
! [X0] :
( ~ s2(X0)
| r3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_264) ).
fof(f326,axiom,
! [X2,X3,X0,X1] :
( ~ p4(X2,X2,X3)
| ~ r3(X1,X1,X0)
| p4(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_288) ).
fof(f329,axiom,
! [X0,X1] :
( ~ p3(X1,X1,X0)
| p4(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_291) ).
fof(f369,negated_conjecture,
! [X0,X1] : ~ p4(X0,c,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_424,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_431,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_436,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_441,plain,
l0(c),
inference(cnf_transformation,[],[f24]) ).
tcf(c_446,plain,
q0(d,b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_449,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_522,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_578,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_579,plain,
! [X0: $i,X1: $i,X2: $i] :
( s1(X0)
| ~ s1(X2)
| ~ q0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( l2(X2,X2)
| ~ s1(X1)
| ~ p0(X3,X3)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_589,plain,
! [X0: $i,X1: $i,X2: $i] :
( n2(X2)
| ~ p1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_635,plain,
! [X0: $i,X1: $i] :
( q2(X1,c,X0)
| ~ l0(c)
| ~ k1(X0)
| ~ l2(X0,X1) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_641,plain,
! [X0: $i] :
( s2(X0)
| ~ s1(b)
| ~ q2(b,X0,b) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_694,plain,
! [X0: $i] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_708,plain,
! [X0: $i,X1: $i,X2: $i] :
( q3(X2,X2)
| ~ r2(X2)
| ~ s1(X1)
| ~ l2(X0,X0) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_714,plain,
! [X0: $i] :
( r3(X0,X0,X0)
| ~ s2(X0) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(X3,X2,X2)
| ~ r3(X2,X2,X3)
| ~ p4(X0,X0,X1) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_739,plain,
! [X0: $i,X1: $i] :
( p4(X1,X1,X1)
| ~ p3(X0,X0,X1) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_768,negated_conjecture,
! [X0: $i,X1: $i] : ~ p4(X0,c,X1),
inference(cnf_transformation,[],[f369]) ).
tcf(c_770,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_771,plain,
m0(b,d,b),
inference(instantiation,[status(thm)],[c_436]) ).
tcf(c_776,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_578]) ).
tcf(c_783,plain,
( p3(b,b,b)
| ~ n2(b) ),
inference(instantiation,[status(thm)],[c_694]) ).
tcf(c_789,plain,
( n2(b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_589]) ).
tcf(c_791,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_522]) ).
tcf(c_813,plain,
( p4(b,b,b)
| ~ p3(b,b,b) ),
inference(instantiation,[status(thm)],[c_739]) ).
tcf(c_963,plain,
! [X0: $i] :
( s2(X0)
| ~ q2(b,X0,b) ),
inference(global_subsumption_just,[status(thm)],[c_641,c_770,c_776,c_641]) ).
tcf(c_1025,plain,
! [X0: $i,X1: $i] :
( q2(X1,c,X0)
| ~ l2(X0,X1)
| ~ k1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_635,c_441,c_635]) ).
tcf(c_1026,plain,
! [X0: $i,X1: $i] :
( q2(X1,c,X0)
| ~ k1(X0)
| ~ l2(X0,X1) ),
inference(renaming,[status(thm)],[c_1025]) ).
tcf(c_1027,plain,
( q2(b,c,b)
| ~ k1(b)
| ~ l2(b,b) ),
inference(instantiation,[status(thm)],[c_1026]) ).
tcf(c_1071,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_17
| p4(X1,X0,X0)
| ~ r3(X0,X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_736]) ).
tcf(c_1072,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_18
| ~ p4(X0,X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_736]) ).
tcf(c_1073,plain,
( iPr_def_18
| iPr_def_17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_736]) ).
tcf(c_1085,plain,
! [X0: $i] :
( ~ iPr_def_26
| ~ s1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_708]) ).
tcf(c_1152,plain,
! [X0: $i] :
( ~ iPr_def_70
| ~ p0(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_70])],[c_585]) ).
tcf(c_1153,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_71
| ~ s1(X1)
| l2(X2,X2)
| ~ m0(X0,X1,X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_71])],[c_585]) ).
tcf(c_1154,plain,
( iPr_def_71
| iPr_def_70 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_585]) ).
tcf(c_1155,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_72
| s1(X0)
| ~ q0(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_72])],[c_579]) ).
tcf(c_1156,plain,
( iPr_def_72
| iPr_def_26 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_579]) ).
tcf(c_1202,plain,
( ~ iPr_def_26
| ~ s1(b) ),
inference(instantiation,[status(thm)],[c_1085]) ).
tcf(c_1216,plain,
( ~ iPr_def_70
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_1152]) ).
tcf(c_1219,plain,
( ~ iPr_def_18
| ~ p4(b,b,b) ),
inference(instantiation,[status(thm)],[c_1072]) ).
tcf(c_1276,plain,
~ p4(c,c,c),
inference(instantiation,[status(thm)],[c_768]) ).
tcf(c_1283,plain,
! [X0: $i] :
( p4(X0,c,c)
| ~ iPr_def_17
| ~ r3(c,c,X0) ),
inference(instantiation,[status(thm)],[c_1071]) ).
tcf(c_1301,plain,
( k1(b)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1329,plain,
! [X0: $i] :
( s1(d)
| ~ iPr_def_72
| ~ q0(d,X0) ),
inference(instantiation,[status(thm)],[c_1155]) ).
tcf(c_1330,plain,
( s1(d)
| ~ iPr_def_72
| ~ q0(d,b) ),
inference(instantiation,[status(thm)],[c_1329]) ).
tcf(c_1526,plain,
! [X0: $i,X1: $i] :
( l2(X1,X1)
| ~ iPr_def_71
| ~ s1(d)
| ~ m0(X0,d,X1) ),
inference(instantiation,[status(thm)],[c_1153]) ).
tcf(c_1527,plain,
( l2(b,b)
| ~ iPr_def_71
| ~ s1(d)
| ~ m0(b,d,b) ),
inference(instantiation,[status(thm)],[c_1526]) ).
tcf(c_1723,plain,
( p4(c,c,c)
| ~ iPr_def_17
| ~ r3(c,c,c) ),
inference(instantiation,[status(thm)],[c_1283]) ).
tcf(c_1727,plain,
( r3(c,c,c)
| ~ s2(c) ),
inference(instantiation,[status(thm)],[c_714]) ).
tcf(c_1752,plain,
( s2(c)
| ~ q2(b,c,b) ),
inference(instantiation,[status(thm)],[c_963]) ).
tcf(c_1753,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1752,c_1727,c_1723,c_1527,c_1330,c_1301,c_1276,c_1219,c_1216,c_1202,c_1156,c_1154,c_1073,c_1027,c_813,c_791,c_789,c_783,c_776,c_771,c_424,c_770,c_446,c_449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN170-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 00:23:13 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running EPR theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 1.49/1.09 % SZS status Started for theBenchmark.p
% 1.49/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 1.49/1.09
% 1.49/1.09 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.49/1.09
% 1.49/1.09 % ------ iProver source info
% 1.49/1.09
% 1.49/1.09 % git: date: 2026-07-19 20:42:38 +0200
% 1.49/1.09 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.49/1.09 % git: non_committed_changes: false
% 1.49/1.09
% 1.49/1.09 % ------ Parsing...% successful
% 1.49/1.09
% 1.49/1.09
% 1.49/1.09 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.49/1.09 %
% 1.49/1.09
% 1.49/1.09 % ------ Preprocessing... sf_s rm: 40 0s sf_e sf_s rm: 0 0s sf_e %
% 1.49/1.09
% 1.49/1.09 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.49/1.09 gs_s sp: 102 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.49/1.09 % ------ Proving...
% 1.49/1.09 % ------ Problem Properties
% 1.49/1.09
% 1.49/1.09 %
% 1.49/1.09 % clauses 380
% 1.49/1.09 % conjectures 1
% 1.49/1.09 % EPR 380
% 1.49/1.09 % Horn 330
% 1.49/1.09 % unary 51
% 1.49/1.09 % binary 154
% 1.49/1.09 % lits 948
% 1.49/1.09 % lits eq 0
% 1.49/1.09 % fd_pure 0
% 1.49/1.09 % fd_pseudo 0
% 1.49/1.09 % fd_cond 0
% 1.49/1.09 % fd_pseudo_cond 0
% 1.49/1.09 % AC symbols 0
% 1.49/1.09
% 1.49/1.09 % ------ Schedule EPR non Horn non eq is on
% 1.49/1.09
% 1.49/1.09 % ------ no equalities: superposition off
% 1.49/1.09
% 1.49/1.09 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.49/1.09
% 1.49/1.09
% 1.49/1.09 % ------
% 1.49/1.09 % Current options:
% 1.49/1.09 % ------
% 1.49/1.09
% 1.49/1.09
% 1.49/1.09 %
% 1.49/1.09
% 1.49/1.09 % ------ Proving...
% 1.49/1.09 %
% 1.49/1.09
% 1.49/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 1.49/1.09
% 1.49/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.49/1.09
% 1.49/1.09
%------------------------------------------------------------------------------