%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN161-1 : 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 : n009.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 03:39:20 PM UTC 2026
% Result : Unsatisfiable 1.98s 1.29s
% Output : CNFRefutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 19
% Syntax : Number of formulae : 67 ( 18 unt; 0 def)
% Number of atoms : 150 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 171 ( 88 ~; 83 |; 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 : 23 ( 22 usr; 5 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 83 ( 0 sgn 83 !; 0 ?; 51 :)
% 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(f248,axiom,
! [X0] :
( ~ n2(X0)
| k3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_210) ).
fof(f274,axiom,
! [X0] :
( ~ n2(X0)
| m3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_236) ).
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(f333,axiom,
! [X2,X3,X0,X1,X4] :
( ~ m3(X3,X4,X3)
| ~ q2(X3,X1,X0)
| ~ k3(X2,X2,X0)
| q4(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_295) ).
fof(f351,axiom,
! [X0,X1] :
( ~ q4(X1,X0)
| n5(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_313) ).
fof(f369,negated_conjecture,
! [X0] : ~ n5(c,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
! [X0: $i] : ~ n5(c,X0),
inference(cnf_transformation,[],[f369]) ).
tcf(c_434,plain,
! [X0: $i,X1: $i] :
( n5(X1,X1)
| ~ q4(X0,X1) ),
inference(cnf_transformation,[],[f351]) ).
tcf(c_496,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_528,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_548,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_550,plain,
! [X0: $i,X1: $i,X2: $i] :
( s1(X0)
| ~ s1(X2)
| ~ q0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_551,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( q4(X2,X1)
| ~ m3(X0,X4,X0)
| ~ k3(X3,X3,X2)
| ~ q2(X0,X1,X2) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_605,plain,
q0(d,b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_613,plain,
! [X0: $i,X1: $i] :
( q2(X1,c,X0)
| ~ l0(c)
| ~ k1(X0)
| ~ l2(X0,X1) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_621,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_636,plain,
l0(c),
inference(cnf_transformation,[],[f24]) ).
tcf(c_651,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_679,plain,
! [X0: $i,X1: $i,X2: $i] :
( q3(X2,X2)
| ~ r2(X2)
| ~ s1(X1)
| ~ l2(X0,X0) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_686,plain,
! [X0: $i] :
( m3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_699,plain,
! [X0: $i] :
( k3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_704,plain,
! [X0: $i,X1: $i,X2: $i] :
( n2(X2)
| ~ p1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_750,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_752,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_758,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_528]) ).
tcf(c_761,plain,
m0(b,d,b),
inference(instantiation,[status(thm)],[c_496]) ).
tcf(c_765,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_551]) ).
tcf(c_766,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_750]) ).
tcf(c_770,plain,
( n2(b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_704]) ).
tcf(c_771,plain,
( k3(b,b,b)
| ~ n2(b) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_773,plain,
( m3(b,b,b)
| ~ n2(b) ),
inference(instantiation,[status(thm)],[c_686]) ).
tcf(c_1005,plain,
! [X0: $i,X1: $i] :
( q2(X1,c,X0)
| ~ l2(X0,X1)
| ~ k1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_613,c_636,c_613]) ).
tcf(c_1006,plain,
! [X0: $i,X1: $i] :
( q2(X1,c,X0)
| ~ k1(X0)
| ~ l2(X0,X1) ),
inference(renaming,[status(thm)],[c_1005]) ).
tcf(c_1007,plain,
( q2(b,c,b)
| ~ k1(b)
| ~ l2(b,b) ),
inference(instantiation,[status(thm)],[c_1006]) ).
tcf(c_1074,plain,
! [X0: $i] :
( ~ iPr_def_34
| ~ s1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_679]) ).
tcf(c_1137,plain,
! [X0: $i] :
( ~ iPr_def_75
| ~ p0(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_75])],[c_548]) ).
tcf(c_1138,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_76
| ~ s1(X1)
| l2(X2,X2)
| ~ m0(X0,X1,X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_76])],[c_548]) ).
tcf(c_1139,plain,
( iPr_def_76
| iPr_def_75 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_548]) ).
tcf(c_1140,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_77
| s1(X0)
| ~ q0(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_77])],[c_550]) ).
tcf(c_1141,plain,
( iPr_def_77
| iPr_def_34 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_550]) ).
tcf(c_1188,plain,
( ~ iPr_def_34
| ~ s1(b) ),
inference(instantiation,[status(thm)],[c_1074]) ).
tcf(c_1201,plain,
( ~ iPr_def_75
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_1137]) ).
tcf(c_1263,plain,
! [X0: $i] :
( n5(c,c)
| ~ q4(X0,c) ),
inference(instantiation,[status(thm)],[c_434]) ).
tcf(c_1264,plain,
~ n5(c,c),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_1265,plain,
( n5(c,c)
| ~ q4(b,c) ),
inference(instantiation,[status(thm)],[c_1263]) ).
tcf(c_1282,plain,
( k1(b)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_621]) ).
tcf(c_1296,plain,
! [X0: $i] :
( s1(d)
| ~ iPr_def_77
| ~ q0(d,X0) ),
inference(instantiation,[status(thm)],[c_1140]) ).
tcf(c_1297,plain,
( s1(d)
| ~ iPr_def_77
| ~ q0(d,b) ),
inference(instantiation,[status(thm)],[c_1296]) ).
tcf(c_1512,plain,
! [X0: $i,X1: $i] :
( l2(X1,X1)
| ~ iPr_def_76
| ~ s1(d)
| ~ m0(X0,d,X1) ),
inference(instantiation,[status(thm)],[c_1138]) ).
tcf(c_1513,plain,
( l2(b,b)
| ~ iPr_def_76
| ~ s1(d)
| ~ m0(b,d,b) ),
inference(instantiation,[status(thm)],[c_1512]) ).
tcf(c_1706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( q4(X1,c)
| ~ q2(X2,c,X1)
| ~ m3(X2,X3,X2)
| ~ k3(X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_561]) ).
tcf(c_1707,plain,
( q4(b,c)
| ~ m3(b,b,b)
| ~ k3(b,b,b)
| ~ q2(b,c,b) ),
inference(instantiation,[status(thm)],[c_1706]) ).
tcf(c_1708,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1707,c_1513,c_1297,c_1282,c_1264,c_1265,c_1201,c_1188,c_1141,c_1139,c_1007,c_773,c_771,c_770,c_766,c_765,c_761,c_758,c_605,c_651,c_752]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN161-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.44 % Computer : n009.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Fri Sep 25 00:21:44 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.21/0.48 Running EPR theorem proving
% 0.21/0.48 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
% 0.21/0.49
% 0.21/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.21/0.49
% 0.21/0.49 % Detected problem language: tptp
% 0.21/0.50 % Proving...
% 1.98/1.29 % SZS status Started for theBenchmark.p
% 1.98/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.98/1.29
% 1.98/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.98/1.29
% 1.98/1.29 % ------ iProver source info
% 1.98/1.29
% 1.98/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.98/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.98/1.29 % git: non_committed_changes: false
% 1.98/1.29
% 1.98/1.29 % ------ Parsing...% successful
% 1.98/1.29
% 1.98/1.29
% 1.98/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.98/1.29 %
% 1.98/1.29
% 1.98/1.29 % ------ Preprocessing... sf_s rm: 14 0s sf_e sf_s rm: 0 0s sf_e %
% 1.98/1.29
% 1.98/1.29 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.98/1.29 gs_s sp: 108 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.98/1.29 % ------ Proving...
% 1.98/1.29 % ------ Problem Properties
% 1.98/1.29
% 1.98/1.29 %
% 1.98/1.29 % clauses 399
% 1.98/1.29 % conjectures 1
% 1.98/1.29 % EPR 399
% 1.98/1.29 % Horn 346
% 1.98/1.29 % unary 52
% 1.98/1.29 % binary 162
% 1.98/1.29 % lits 1000
% 1.98/1.29 % lits eq 0
% 1.98/1.29 % fd_pure 0
% 1.98/1.29 % fd_pseudo 0
% 1.98/1.29 % fd_cond 0
% 1.98/1.29 % fd_pseudo_cond 0
% 1.98/1.29 % AC symbols 0
% 1.98/1.29
% 1.98/1.29 % ------ Schedule EPR non Horn non eq is on
% 1.98/1.29
% 1.98/1.29 % ------ no equalities: superposition off
% 1.98/1.29
% 1.98/1.29 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.98/1.29
% 1.98/1.29
% 1.98/1.29 % ------
% 1.98/1.29 % Current options:
% 1.98/1.29 % ------
% 1.98/1.29
% 1.98/1.29
% 1.98/1.29 %
% 1.98/1.29
% 1.98/1.29 % ------ Proving...
% 1.98/1.29 %
% 1.98/1.29
% 1.98/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.98/1.29
% 1.98/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.98/1.29
% 1.98/1.29
%------------------------------------------------------------------------------