%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN193-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n016.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 8.09s 1.75s
% Output : CNFRefutation 8.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 56 ( 56 unt; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-4 aty)
% Number of variables : 93 ( 0 sgn 93 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f27,axiom,
! [X0] : p0(b,X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f28,plain,
! [X0] : true = p0(b,X0),
inference(reorient_equations,[],[f27]) ).
fof(f37,axiom,
! [X0,X1] : m0(X0,d,X1) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f38,plain,
! [X0,X1] : true = m0(X0,d,X1),
inference(reorient_equations,[],[f37]) ).
fof(f59,axiom,
n0(e,e) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(f60,plain,
true = n0(e,e),
inference(reorient_equations,[],[f59]) ).
fof(f125,axiom,
! [X2,X0,X1] : ifeq(m0(X0,X1,X2),true,m1(X2,X2,X2),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_025) ).
fof(f126,plain,
! [X2,X0,X1] : true = ifeq(m0(X0,X1,X2),true,m1(X2,X2,X2),true),
inference(reorient_equations,[],[f125]) ).
fof(f241,axiom,
! [X0,X1] : ifeq(p0(X0,X1),true,p1(X1,X1,X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_085) ).
fof(f242,plain,
! [X0,X1] : true = ifeq(p0(X0,X1),true,p1(X1,X1,X1),true),
inference(reorient_equations,[],[f241]) ).
fof(f369,axiom,
! [X0,X1] : ifeq(m1(X0,X0,X1),true,p2(X1,X1,X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_150) ).
fof(f370,plain,
! [X0,X1] : true = ifeq(m1(X0,X0,X1),true,p2(X1,X1,X1),true),
inference(reorient_equations,[],[f369]) ).
fof(f431,axiom,
! [X0] : ifeq(p1(X0,X0,X0),true,q2(X0,X0,X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_181) ).
fof(f432,plain,
! [X0] : true = ifeq(p1(X0,X0,X0),true,q2(X0,X0,X0),true),
inference(reorient_equations,[],[f431]) ).
fof(f545,axiom,
! [X2,X0,X1] : ifeq(p2(X0,X1,X2),true,n3(X2),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_240) ).
fof(f546,plain,
! [X2,X0,X1] : true = ifeq(p2(X0,X1,X2),true,n3(X2),true),
inference(reorient_equations,[],[f545]) ).
fof(f575,axiom,
! [X2,X0,X1] : ifeq(q2(X0,X1,X2),true,ifeq(n0(X0,X1),true,q3(X1,X2),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_255) ).
fof(f576,plain,
! [X2,X0,X1] : true = ifeq(q2(X0,X1,X2),true,ifeq(n0(X0,X1),true,q3(X1,X2),true),true),
inference(reorient_equations,[],[f575]) ).
fof(f657,axiom,
! [X2,X3,X0,X1] : ifeq(q3(X0,X1),true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_298) ).
fof(f658,plain,
! [X2,X3,X0,X1] : true = ifeq(q3(X0,X1),true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true),
inference(reorient_equations,[],[f657]) ).
fof(f723,negated_conjecture,
r4(b) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f724,plain,
true != r4(b),
inference(reorient_equations,[],[f723]) ).
tcf(c_412,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_426,plain,
! [X0: $i] : p0(b,X0) = true,
inference(cnf_transformation,[],[f28]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1) = true,
inference(cnf_transformation,[],[f38]) ).
tcf(c_442,plain,
n0(e,e) = true,
inference(cnf_transformation,[],[f60]) ).
tcf(c_475,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(m0(X0,X1,X2),true,m1(X2,X2,X2),true) = true,
inference(cnf_transformation,[],[f126]) ).
tcf(c_533,plain,
! [X0: $i,X1: $i] : ifeq(p0(X0,X1),true,p1(X1,X1,X1),true) = true,
inference(cnf_transformation,[],[f242]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i] : ifeq(m1(X0,X0,X1),true,p2(X1,X1,X1),true) = true,
inference(cnf_transformation,[],[f370]) ).
tcf(c_628,plain,
! [X0: $i] : ifeq(p1(X0,X0,X0),true,q2(X0,X0,X0),true) = true,
inference(cnf_transformation,[],[f432]) ).
tcf(c_685,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(p2(X0,X1,X2),true,n3(X2),true) = true,
inference(cnf_transformation,[],[f546]) ).
tcf(c_700,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(q2(X0,X1,X2),true,ifeq(n0(X0,X1),true,q3(X1,X2),true),true) = true,
inference(cnf_transformation,[],[f576]) ).
tcf(c_741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq(q3(X0,X1),true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true) = true,
inference(cnf_transformation,[],[f658]) ).
tcf(c_774,negated_conjecture,
r4(b) != true,
inference(cnf_transformation,[],[f724]) ).
tcf(c_4063,plain,
! [X0: $i] : ifeq(true,true,p1(X0,X0,X0),true) = true,
inference(superposition,[status(thm)],[c_426,c_533]) ).
tcf(c_4249,plain,
! [X0: $i] : ifeq(true,true,m1(X0,X0,X0),true) = true,
inference(superposition,[status(thm)],[c_431,c_475]) ).
tcf(c_4283,plain,
! [X0: $i] : p1(X0,X0,X0) = true,
inference(demodulation,[status(thm)],[c_4063,c_412]) ).
tcf(c_4431,plain,
! [X0: $i] : m1(X0,X0,X0) = true,
inference(demodulation,[status(thm)],[c_4249,c_412]) ).
tcf(c_4440,plain,
! [X0: $i] : ifeq(true,true,p2(X0,X0,X0),true) = true,
inference(superposition,[status(thm)],[c_4431,c_597]) ).
tcf(c_4515,plain,
! [X0: $i] : ifeq(true,true,q2(X0,X0,X0),true) = true,
inference(light_normalisation,[status(thm)],[c_628,c_4283]) ).
tcf(c_4516,plain,
! [X0: $i] : q2(X0,X0,X0) = true,
inference(demodulation,[status(thm)],[c_4515,c_412]) ).
tcf(c_4657,plain,
! [X0: $i] : p2(X0,X0,X0) = true,
inference(demodulation,[status(thm)],[c_4440,c_412]) ).
tcf(c_4674,plain,
! [X0: $i] : ifeq(true,true,n3(X0),true) = true,
inference(superposition,[status(thm)],[c_4657,c_685]) ).
tcf(c_4685,plain,
! [X0: $i] : n3(X0) = true,
inference(demodulation,[status(thm)],[c_4674,c_412]) ).
tcf(c_5822,plain,
! [X0: $i] : ifeq(true,true,ifeq(n0(X0,X0),true,q3(X0,X0),true),true) = true,
inference(superposition,[status(thm)],[c_4516,c_700]) ).
tcf(c_6683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq(q3(X0,X1),true,ifeq(p0(X2,X3),true,r4(X3),true),true) = true,
inference(demodulation,[status(thm)],[c_741,c_412,c_4685]) ).
tcf(c_6684,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(q3(X0,X1),true,ifeq(true,true,r4(X2),true),true) = true,
inference(superposition,[status(thm)],[c_426,c_6683]) ).
tcf(c_6687,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(q3(X0,X1),true,r4(X2),true) = true,
inference(demodulation,[status(thm)],[c_6684,c_412]) ).
tcf(c_7452,plain,
! [X0: $i] : ifeq(n0(X0,X0),true,q3(X0,X0),true) = true,
inference(demodulation,[status(thm)],[c_5822,c_412]) ).
tcf(c_7453,plain,
ifeq(true,true,q3(e,e),true) = true,
inference(superposition,[status(thm)],[c_442,c_7452]) ).
tcf(c_7456,plain,
q3(e,e) = true,
inference(demodulation,[status(thm)],[c_7453,c_412]) ).
tcf(c_7461,plain,
! [X0: $i] : ifeq(true,true,r4(X0),true) = true,
inference(superposition,[status(thm)],[c_7456,c_6687]) ).
tcf(c_7491,plain,
! [X0: $i] : r4(X0) = true,
inference(demodulation,[status(thm)],[c_7461,c_412]) ).
tcf(c_7496,plain,
true != true,
inference(demodulation,[status(thm)],[c_774,c_7491]) ).
tcf(c_7498,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_7496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN193-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 00:32:13 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running UEQ theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.41 % Proving...
% 8.09/1.75 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 8.09/1.75 % SZS status Started for theBenchmark.p
% 8.09/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 8.09/1.75
% 8.09/1.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.09/1.75
% 8.09/1.75 % ------ iProver source info
% 8.09/1.75
% 8.09/1.75 % git: date: 2026-07-19 20:42:38 +0200
% 8.09/1.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.09/1.75 % git: non_committed_changes: false
% 8.09/1.75
% 8.09/1.75 % ------ Parsing...% successful
% 8.09/1.75
% 8.09/1.75
% 8.09/1.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.09/1.75
% 8.09/1.75 % ------ Preprocessing... sup_sim: 51 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 8.09/1.75
% 8.09/1.75 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.09/1.75
% 8.09/1.75 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.09/1.75 % ------ Proving...
% 8.09/1.75 % ------ Problem Properties
% 8.09/1.75
% 8.09/1.75 %
% 8.09/1.75 % clauses 344
% 8.09/1.75 % conjectures 1
% 8.09/1.75 % EPR 0
% 8.09/1.75 % Horn 344
% 8.09/1.75 % unary 344
% 8.09/1.75 % binary 0
% 8.09/1.75 % lits 344
% 8.09/1.75 % lits eq 344
% 8.09/1.75 % fd_pure 0
% 8.09/1.75 % fd_pseudo 0
% 8.09/1.75 % fd_cond 0
% 8.09/1.75 % fd_pseudo_cond 0
% 8.09/1.75 % AC symbols 0
% 8.09/1.75
% 8.09/1.75 % ------ Input Options Time Limit: Unbounded
% 8.09/1.75
% 8.09/1.75
% 8.09/1.75 % ------
% 8.09/1.75 % Current options:
% 8.09/1.75 % ------
% 8.09/1.75
% 8.09/1.75
% 8.09/1.75 %
% 8.09/1.75
% 8.09/1.75 % ------ Proving...
% 8.09/1.75 %
% 8.09/1.75
% 8.09/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 8.09/1.75
% 8.09/1.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.09/1.75
% 8.09/1.75
%------------------------------------------------------------------------------