%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ANA028-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 : Tue Sep 29 09:31:20 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.31s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 37 ( 19 unt; 0 def)
% Number of atoms : 57 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 27 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_plus(c_0,X1,X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(X1,c_minus(X2,X3,X0),X0) = c_minus(c_plus(X1,X2,X0),X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__2_0) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(c_minus(X1,X2,X0),X3,X0) = c_minus(c_plus(X1,X3,X0),X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__3_0) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(X1,c_minus(X2,X3,X0),X0) = c_minus(c_plus(X1,X3,X0),X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__5_0) ).
fof(f5,plain,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(c_plus(X1,X3,X0),X2,X0) = c_minus(X1,c_minus(X2,X3,X0),X0) ),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ c_lessequals(X1,c_plus(X2,X3,X0),X0)
| c_lessequals(c_minus(X1,X3,X0),X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_1) ).
fof(f8,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(X1,X1,X0) = c_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__self_0) ).
fof(f9,plain,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_0 = c_minus(X1,X1,X0) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
! [X0] : c_lessequals(v_g(X0),v_k(X0),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f11,negated_conjecture,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f12,axiom,
! [X0] :
( class_OrderedGroup_Ocomm__monoid__add(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
fof(f13,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(f14,axiom,
! [X0] :
( class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f15,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f16,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(resolution,[],[f13,f15]) ).
fof(f17,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_plus(c_0,X0,X1) = X0 ),
inference(resolution,[],[f1,f12]) ).
fof(f18,plain,
! [X0] : c_0 = c_minus(X0,X0,t_b),
inference(resolution,[],[f9,f16]) ).
fof(f19,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X3)
| c_lessequals(c_minus(X0,X2,X3),X1,X3)
| ~ c_lessequals(X0,c_plus(X1,X2,X3),X3) ),
inference(resolution,[],[f6,f14]) ).
fof(f21,plain,
! [X0] : c_plus(c_0,X0,t_b) = X0,
inference(resolution,[],[f17,f15]) ).
fof(f22,plain,
! [X2,X0,X1] : c_plus(X0,c_minus(X1,X2,t_b),t_b) = c_minus(c_plus(X0,X1,t_b),X2,t_b),
inference(resolution,[],[f2,f16]) ).
fof(f23,plain,
! [X2,X0,X1] : c_plus(c_minus(X0,X1,t_b),X2,t_b) = c_minus(c_plus(X0,X2,t_b),X1,t_b),
inference(resolution,[],[f3,f16]) ).
fof(f27,plain,
! [X2,X0,X1] : c_minus(c_plus(X0,X1,t_b),X2,t_b) = c_minus(X0,c_minus(X2,X1,t_b),t_b),
inference(resolution,[],[f5,f16]) ).
fof(f34,plain,
! [X2,X0,X1] :
( c_lessequals(c_minus(X0,X1,t_b),X2,t_b)
| ~ c_lessequals(X0,c_plus(X2,X1,t_b),t_b) ),
inference(resolution,[],[f19,f15]) ).
fof(f35,plain,
~ c_lessequals(v_f(v_x),c_plus(c_minus(v_f(v_x),v_g(v_x),t_b),v_k(v_x),t_b),t_b),
inference(resolution,[],[f34,f11]) ).
fof(f38,plain,
~ c_lessequals(v_f(v_x),c_minus(c_plus(v_f(v_x),v_k(v_x),t_b),v_g(v_x),t_b),t_b),
inference(forward_demodulation,[],[f35,f23]) ).
fof(f39,plain,
~ c_lessequals(v_f(v_x),c_minus(v_f(v_x),c_minus(v_g(v_x),v_k(v_x),t_b),t_b),t_b),
inference(forward_demodulation,[],[f38,f27]) ).
fof(f62,plain,
! [X0,X1] : c_minus(c_plus(X0,X1,t_b),X0,t_b) = c_plus(c_0,X1,t_b),
inference(superposition,[],[f23,f18]) ).
fof(f75,plain,
! [X0,X1] : c_minus(c_plus(X0,X1,t_b),X0,t_b) = X1,
inference(forward_demodulation,[],[f62,f21]) ).
fof(f80,plain,
! [X0,X1] : c_minus(X0,c_minus(X0,X1,t_b),t_b) = X1,
inference(forward_demodulation,[],[f75,f27]) ).
fof(f119,plain,
! [X2,X0,X1] :
( c_lessequals(X0,X2,t_b)
| ~ c_lessequals(X1,c_plus(X2,c_minus(X1,X0,t_b),t_b),t_b) ),
inference(superposition,[],[f34,f80]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X1,c_minus(c_plus(X2,X1,t_b),X0,t_b),t_b)
| c_lessequals(X0,X2,t_b) ),
inference(forward_demodulation,[],[f119,f22]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X1,c_minus(X2,c_minus(X0,X1,t_b),t_b),t_b)
| c_lessequals(X0,X2,t_b) ),
inference(forward_demodulation,[],[f124,f27]) ).
fof(f2632,plain,
! [X0,X1] :
( c_lessequals(X1,c_minus(X1,X0,t_b),t_b)
| ~ c_lessequals(X0,c_0,t_b) ),
inference(superposition,[],[f131,f18]) ).
fof(f2846,plain,
~ c_lessequals(c_minus(v_g(v_x),v_k(v_x),t_b),c_0,t_b),
inference(resolution,[],[f2632,f39]) ).
fof(f2937,plain,
~ c_lessequals(v_g(v_x),c_plus(c_0,v_k(v_x),t_b),t_b),
inference(resolution,[],[f2846,f34]) ).
fof(f2938,plain,
~ c_lessequals(v_g(v_x),v_k(v_x),t_b),
inference(forward_demodulation,[],[f2937,f21]) ).
fof(f2939,plain,
$false,
inference(forward_subsumption_resolution,[],[f2938,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA028-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n026.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 20:34:44 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.31 % (14642)Will run a generic schedule for satisfiability detection.
% 0.19/0.31 % (14647)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3128256130_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.31 % TRYING [1]
% 0.19/0.31 % TRYING [2]
% 0.19/0.31 % TRYING [3]
% 0.19/0.31 % (14648)% WARNING: option uhcvi not known.
% 0.19/0.31 % TRYING [4]
% 0.19/0.31 % (14648)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4190124985:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.31 % (14649)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=93926225:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.31 % (14650)dis+10_1_sil=32000:sp=arity:random_seed=1811267423:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.31 % (14651)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2003544706:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.31 % (14652)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4100384882:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.31 % (14653)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4245526301:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.31 % TRYING [5]
% 0.19/0.31 % TRYING [6]
% 0.19/0.31 % (14651) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-14642-14651"...
% 0.19/0.31 % (14651)...printing done.
% 0.19/0.31 % (14650)Instruction limit reached!
% 0.19/0.31 % (14650)------------------------------
% 0.19/0.31 % (14650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31 % (14650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31 % (14650)CaDiCaL version: 2.1.3
% 0.19/0.31 % (14650)Termination reason: Instruction limit
% 0.19/0.31 % (14650)Termination phase: Saturation
% 0.19/0.31 % (14650)Time elapsed: 0.058 s
% 0.19/0.31 % (14650)Peak memory usage: 12 MB
% 0.19/0.31 % (14650)Instructions burned: 104 (million)
% 0.19/0.31 % (14651)Refutation found. Thanks to Tanya!
% 0.19/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.31 % (14651)------------------------------
% 0.19/0.31 % (14651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31 % (14651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31 % (14651)CaDiCaL version: 2.1.3
% 0.19/0.31 % (14651)Termination reason: Refutation
% 0.19/0.31 % (14651)Time elapsed: 0.056 s
% 0.19/0.31 % (14651)Peak memory usage: 12 MB
% 0.19/0.31 % (14651)Instructions burned: 98 (million)
% 0.19/0.31 % (14642)Success in time 0.093 s
% 0.19/0.31 % Vampire exiting
%------------------------------------------------------------------------------