%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN211-1 : 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 : n003.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 03:39:27 PM UTC 2026
% Result : Unsatisfiable 0.67s 6.12s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 81 ( 42 ~; 39 |; 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 : 14 ( 13 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f10,axiom,
p0(b,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_10) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X1,X0,X2)
| ~ r0(X3)
| ~ p0(X2,X0)
| l1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_003) ).
fof(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ m1(X0,X1,X1)
| ~ r0(X2)
| q1(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_113) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f282,axiom,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f337,axiom,
! [X2,X3,X0,X1] :
( ~ l1(X0,X2)
| ~ p3(X1,X2,X3)
| s4(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_299) ).
fof(f369,negated_conjecture,
~ s4(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_426,plain,
r0(b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_427,plain,
p0(b,d),
inference(cnf_transformation,[],[f10]) ).
tcf(c_436,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_449,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( l1(X1,X0)
| ~ r0(X3)
| ~ p0(X2,X1)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_522,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_566,plain,
! [X0: $i,X1: $i,X2: $i] :
( q1(X0,X0,X1)
| ~ r0(X2)
| ~ m1(X0,X1,X1) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_589,plain,
! [X0: $i,X1: $i,X2: $i] :
( n2(X2)
| ~ p1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_694,plain,
! [X0: $i] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s4(X3)
| ~ l1(X3,X1)
| ~ p3(X0,X1,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_768,negated_conjecture,
~ s4(d),
inference(cnf_transformation,[],[f369]) ).
tcf(c_771,plain,
m0(b,d,b),
inference(instantiation,[status(thm)],[c_436]) ).
tcf(c_782,plain,
( p3(b,b,b)
| ~ n2(b) ),
inference(instantiation,[status(thm)],[c_694]) ).
tcf(c_788,plain,
( n2(b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_589]) ).
tcf(c_790,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_522]) ).
tcf(c_1137,plain,
! [X0: $i] :
( ~ iPr_def_61
| ~ r0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_61])],[c_566]) ).
tcf(c_1178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_86
| ~ p0(X2,X1)
| l1(X1,X0)
| ~ m0(X0,X1,X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_86])],[c_458]) ).
tcf(c_1179,plain,
( iPr_def_86
| iPr_def_61 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_458]) ).
tcf(c_1187,plain,
( ~ iPr_def_61
| ~ r0(b) ),
inference(instantiation,[status(thm)],[c_1137]) ).
tcf(c_1527,plain,
! [X0: $i,X1: $i] :
( l1(d,X0)
| ~ iPr_def_86
| ~ p0(X1,d)
| ~ m0(X0,d,X1) ),
inference(instantiation,[status(thm)],[c_1178]) ).
tcf(c_1528,plain,
( l1(d,b)
| ~ iPr_def_86
| ~ p0(b,d)
| ~ m0(b,d,b) ),
inference(instantiation,[status(thm)],[c_1527]) ).
tcf(c_1763,plain,
! [X0: $i,X1: $i,X2: $i] :
( s4(d)
| ~ l1(d,X1)
| ~ p3(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_747]) ).
tcf(c_1764,plain,
( s4(d)
| ~ l1(d,b)
| ~ p3(b,b,b) ),
inference(instantiation,[status(thm)],[c_1763]) ).
tcf(c_1765,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1764,c_1528,c_1187,c_1179,c_790,c_788,c_782,c_771,c_427,c_768,c_426,c_449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN211-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.37 % Computer : n003.cluster.edu
% 0.12/5.37 % Model : x86_64 x86_64
% 0.12/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.37 % Memory : 8046.5625MB
% 0.12/5.37 % OS : Linux 6.8.0-71-generic
% 0.12/5.37 % CPULimit : 300
% 0.12/5.37 % WCLimit : 300
% 0.12/5.37 % DateTime : Fri Sep 25 00:32:27 UTC 2026
% 0.12/5.37 % CPUTime :
% 0.12/5.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.41 Running EPR theorem proving
% 0.14/5.41 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
% 0.14/5.42
% 0.14/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42
% 0.14/5.42 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 0.67/6.12 % SZS status Started for theBenchmark.p
% 0.67/6.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.67/6.12
% 0.67/6.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.67/6.12
% 0.67/6.12 % ------ iProver source info
% 0.67/6.12
% 0.67/6.12 % git: date: 2026-07-19 20:42:38 +0200
% 0.67/6.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.67/6.12 % git: non_committed_changes: false
% 0.67/6.12
% 0.67/6.12 % ------ Parsing...% successful
% 0.67/6.12
% 0.67/6.12
% 0.67/6.12 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.67/6.12 %
% 0.67/6.12
% 0.67/6.12 % ------ Preprocessing... sf_s rm: 75 0s sf_e sf_s rm: 0 0s sf_e %
% 0.67/6.12
% 0.67/6.12 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 0.67/6.12 gs_s sp: 88 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.67/6.12 % ------ Proving...
% 0.67/6.12 % ------ Problem Properties
% 0.67/6.12
% 0.67/6.12 %
% 0.67/6.12 % clauses 333
% 0.67/6.12 % conjectures 1
% 0.67/6.12 % EPR 333
% 0.67/6.12 % Horn 290
% 0.67/6.12 % unary 51
% 0.67/6.12 % binary 137
% 0.67/6.12 % lits 812
% 0.67/6.12 % lits eq 0
% 0.67/6.12 % fd_pure 0
% 0.67/6.12 % fd_pseudo 0
% 0.67/6.12 % fd_cond 0
% 0.67/6.12 % fd_pseudo_cond 0
% 0.67/6.12 % AC symbols 0
% 0.67/6.12
% 0.67/6.12 % ------ Schedule EPR non Horn non eq is on
% 0.67/6.12
% 0.67/6.12 % ------ no equalities: superposition off
% 0.67/6.12
% 0.67/6.12 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.67/6.12
% 0.67/6.12
% 0.67/6.12 % ------
% 0.67/6.12 % Current options:
% 0.67/6.12 % ------
% 0.67/6.12
% 0.67/6.12
% 0.67/6.12 %
% 0.67/6.12
% 0.67/6.12 % ------ Proving...
% 0.67/6.12 %
% 0.67/6.12
% 0.67/6.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.67/6.12
% 0.67/6.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.67/6.12
% 0.67/6.12
%------------------------------------------------------------------------------