%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN190-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.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 03:39:24 PM UTC 2026
% Result : Unsatisfiable 1.12s 1.12s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 27
% Syntax : Number of formulae : 90 ( 26 unt; 0 def)
% Number of atoms : 206 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 237 ( 121 ~; 116 |; 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 : 23 ( 22 usr; 5 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 88 ( 0 sgn 88 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f59,axiom,
! [X0,X1] :
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_021) ).
fof(f135,axiom,
! [X0] :
( ~ s0(X0)
| q1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_097) ).
fof(f155,axiom,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SYN001-0.ax',rule_124) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( ~ k2(X3,X1)
| ~ k1(X3)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_127) ).
fof(f167,axiom,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).
fof(f173,axiom,
! [X2,X0,X1] :
( ~ l1(X1,X2)
| ~ s0(X0)
| m2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_135) ).
fof(f226,axiom,
! [X0] :
( ~ l0(X0)
| ~ r1(X0)
| r2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_188) ).
fof(f228,axiom,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_190) ).
fof(f269,axiom,
! [X0,X1] :
( ~ k2(c,X1)
| ~ r2(X0)
| m3(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_231) ).
fof(f302,axiom,
! [X0] :
( ~ s2(X0)
| r3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_264) ).
fof(f306,axiom,
! [X2,X3,X0,X1] :
( ~ r3(X1,X3,X3)
| ~ m3(X2,b,X0)
| ~ m2(X1)
| r3(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_268) ).
fof(f369,negated_conjecture,
! [X0] : ~ r3(a,X0,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
! [X0: $i] : ~ r3(a,X0,d),
inference(cnf_transformation,[],[f369]) ).
tcf(c_438,plain,
q0(a,b),
inference(cnf_transformation,[],[f36]) ).
tcf(c_450,plain,
! [X0: $i] :
( r3(X0,X0,X0)
| ~ s2(X0) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_514,plain,
! [X0: $i] :
( q1(X0,X0,X0)
| ~ s0(X0) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_539,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_555,plain,
! [X0: $i] : q0(X0,d),
inference(cnf_transformation,[],[f17]) ).
tcf(c_568,plain,
! [X0: $i,X1: $i] :
( m3(X1,X0,X1)
| ~ r2(X1)
| ~ k2(c,X0) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_579,plain,
! [X0: $i,X1: $i] :
( k2(X1,X1)
| ~ q1(X0,X1,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( k2(X2,X1)
| ~ k1(X3)
| ~ k2(X3,X1)
| ~ m1(X0,X1,X2) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_592,plain,
! [X0: $i] :
( r2(X0)
| ~ r1(X0)
| ~ l0(X0) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_616,plain,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_627,plain,
! [X0: $i,X1: $i] :
( l1(X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_629,plain,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_637,plain,
s0(b),
inference(cnf_transformation,[],[f5]) ).
tcf(c_638,plain,
s0(d),
inference(cnf_transformation,[],[f1]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X0)
| ~ k0(X1)
| ~ l0(X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_655,plain,
l0(c),
inference(cnf_transformation,[],[f24]) ).
tcf(c_656,plain,
l0(a),
inference(cnf_transformation,[],[f20]) ).
tcf(c_665,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_666,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_670,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_677,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i,X2: $i] :
( s1(X0)
| ~ s1(X2)
| ~ q0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_694,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_729,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ s0(d)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r3(X3,X3,X0)
| ~ m2(X0)
| ~ m3(X2,b,X3)
| ~ r3(X0,X1,X1) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_743,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2(X2)
| ~ s0(X2)
| ~ l1(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_755,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_539]) ).
tcf(c_759,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_694]) ).
tcf(c_775,plain,
( q1(b,b,b)
| ~ s0(b) ),
inference(instantiation,[status(thm)],[c_514]) ).
tcf(c_787,plain,
( k2(b,b)
| ~ q1(b,b,b) ),
inference(instantiation,[status(thm)],[c_579]) ).
tcf(c_995,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q1(d,X0,d)
| ~ q0(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_729,c_638,c_729]) ).
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_1106,plain,
! [X0: $i] :
( ~ iPr_def_58
| ~ s0(X0)
| m2(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_58])],[c_743]) ).
tcf(c_1107,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_59
| ~ l1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_59])],[c_743]) ).
tcf(c_1108,plain,
( iPr_def_59
| iPr_def_58 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_743]) ).
tcf(c_1112,plain,
! [X0: $i] :
( ~ iPr_def_62
| ~ s1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_62])],[c_693]) ).
tcf(c_1113,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_63
| s1(X0)
| ~ q0(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_63])],[c_693]) ).
tcf(c_1114,plain,
( iPr_def_63
| iPr_def_62 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_693]) ).
tcf(c_1164,plain,
( ~ iPr_def_62
| ~ s1(b) ),
inference(instantiation,[status(thm)],[c_1112]) ).
tcf(c_1171,plain,
( ~ iPr_def_59
| ~ l1(b,b) ),
inference(instantiation,[status(thm)],[c_1107]) ).
tcf(c_1224,plain,
! [X0: $i] :
( r1(X0)
| ~ q0(X0,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_996]) ).
tcf(c_1244,plain,
( k1(b)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_670]) ).
tcf(c_1275,plain,
! [X0: $i] :
( s1(a)
| ~ iPr_def_63
| ~ q0(a,X0) ),
inference(instantiation,[status(thm)],[c_1113]) ).
tcf(c_1276,plain,
( s1(a)
| ~ iPr_def_63
| ~ q0(a,b) ),
inference(instantiation,[status(thm)],[c_1275]) ).
tcf(c_1286,plain,
( l1(b,b)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_627]) ).
tcf(c_1371,plain,
! [X0: $i] :
( m1(c,X0,c)
| ~ l0(c)
| ~ k0(X0) ),
inference(instantiation,[status(thm)],[c_651]) ).
tcf(c_1372,plain,
( m1(c,b,c)
| ~ k0(b)
| ~ l0(c) ),
inference(instantiation,[status(thm)],[c_1371]) ).
tcf(c_1750,plain,
( r1(a)
| ~ q0(a,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1224]) ).
tcf(c_1869,plain,
( r2(a)
| ~ r1(a)
| ~ l0(a) ),
inference(instantiation,[status(thm)],[c_592]) ).
tcf(c_1895,plain,
! [X0: $i,X1: $i] :
( r3(a,a,d)
| ~ m2(d)
| ~ m3(X1,b,a)
| ~ r3(d,X0,X0) ),
inference(instantiation,[status(thm)],[c_738]) ).
tcf(c_1896,plain,
~ r3(a,a,d),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_2104,plain,
! [X0: $i,X1: $i,X2: $i] :
( k2(c,X1)
| ~ k1(X2)
| ~ k2(X2,X1)
| ~ m1(X0,X1,c) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_2155,plain,
( m2(d)
| ~ iPr_def_58
| ~ s0(d) ),
inference(instantiation,[status(thm)],[c_1106]) ).
tcf(c_2198,plain,
q0(a,d),
inference(instantiation,[status(thm)],[c_555]) ).
tcf(c_2566,plain,
! [X0: $i,X1: $i] :
( k2(c,X0)
| ~ k1(X1)
| ~ k2(X1,X0)
| ~ m1(c,X0,c) ),
inference(instantiation,[status(thm)],[c_2104]) ).
tcf(c_2568,plain,
( k2(c,b)
| ~ k1(b)
| ~ k2(b,b)
| ~ m1(c,b,c) ),
inference(instantiation,[status(thm)],[c_2566]) ).
tcf(c_2610,plain,
! [X0: $i] :
( r3(a,a,d)
| ~ m2(d)
| ~ m3(a,b,a)
| ~ r3(d,X0,X0) ),
inference(instantiation,[status(thm)],[c_1895]) ).
tcf(c_3030,plain,
! [X0: $i] :
( m3(a,X0,a)
| ~ r2(a)
| ~ k2(c,X0) ),
inference(instantiation,[status(thm)],[c_568]) ).
tcf(c_3031,plain,
( m3(a,b,a)
| ~ r2(a)
| ~ k2(c,b) ),
inference(instantiation,[status(thm)],[c_3030]) ).
tcf(c_3098,plain,
( r3(a,a,d)
| ~ m2(d)
| ~ m3(a,b,a)
| ~ r3(d,d,d) ),
inference(instantiation,[status(thm)],[c_2610]) ).
tcf(c_3101,plain,
( r3(d,d,d)
| ~ s2(d) ),
inference(instantiation,[status(thm)],[c_450]) ).
tcf(c_3102,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3101,c_3098,c_3031,c_2568,c_2198,c_2155,c_1896,c_1869,c_1750,c_1372,c_1286,c_1276,c_1244,c_1171,c_1164,c_1114,c_1108,c_629,c_787,c_616,c_775,c_759,c_438,c_755,c_677,c_637,c_638,c_655,c_656,c_665,c_666]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN190-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 00:26:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running EPR theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.12/1.12 % SZS status Started for theBenchmark.p
% 1.12/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 1.12/1.12
% 1.12/1.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.12/1.12
% 1.12/1.12 % ------ iProver source info
% 1.12/1.12
% 1.12/1.12 % git: date: 2026-07-19 20:42:38 +0200
% 1.12/1.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.12/1.12 % git: non_committed_changes: false
% 1.12/1.12
% 1.12/1.12 % ------ Parsing...% successful
% 1.12/1.12
% 1.12/1.12
% 1.12/1.12 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.12/1.12 %
% 1.12/1.12
% 1.12/1.12 % ------ Preprocessing... sf_s rm: 48 0s sf_e sf_s rm: 0 0s sf_e %
% 1.12/1.12
% 1.12/1.12 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.12/1.12 gs_s sp: 91 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.12/1.12 % ------ Proving...
% 1.12/1.12 % ------ Problem Properties
% 1.12/1.12
% 1.12/1.12 %
% 1.12/1.12 % clauses 348
% 1.12/1.12 % conjectures 1
% 1.12/1.12 % EPR 348
% 1.12/1.12 % Horn 303
% 1.12/1.12 % unary 51
% 1.12/1.12 % binary 142
% 1.12/1.12 % lits 857
% 1.12/1.12 % lits eq 0
% 1.12/1.12 % fd_pure 0
% 1.12/1.12 % fd_pseudo 0
% 1.12/1.12 % fd_cond 0
% 1.12/1.12 % fd_pseudo_cond 0
% 1.12/1.12 % AC symbols 0
% 1.12/1.12
% 1.12/1.12 % ------ Schedule EPR non Horn non eq is on
% 1.12/1.12
% 1.12/1.12 % ------ no equalities: superposition off
% 1.12/1.12
% 1.12/1.12 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.12/1.12
% 1.12/1.12
% 1.12/1.12 % ------
% 1.12/1.12 % Current options:
% 1.12/1.12 % ------
% 1.12/1.12
% 1.12/1.12
% 1.12/1.12 %
% 1.12/1.12
% 1.12/1.12 % ------ Proving...
% 1.12/1.12 %
% 1.12/1.12
% 1.12/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 1.12/1.12
% 1.12/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.12/1.12
% 1.12/1.12
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